Number of the day: 50582

Properties of the number 50582:

50582 = 2 × 7 × 3613 is a sphenic number and squarefree.
50582 has 3 distinct prime factors, 8 divisors, 7 antidivisors and 21672 totatives.
50582 has an oblong digit sum 20 in base 10.
50582 has sum of divisors equal to 86736 which is a triangular number.
Reversing the decimal digits of 50582 results in a semiprime.
50582 is the sum of 2 positive triangular numbers.
50582 = 18² + 23² + 223² is the sum of 3 positive squares.
50582² = 1190² + 50568² is the sum of 2 positive squares in 1 way.
50582² is the sum of 3 positive squares.
50582 is a proper divisor of 1553¹² - 1.
50582 = '505' + '82' is the concatenation of 2 semiprime numbers.
50582 is palindromic in (at least) the following bases: 44, 61, 85, -65, and -85.
50582 in base 42 = SSE and consists of only the digits 'E' and 'S'.
50582 in base 44 = Q5Q and consists of only the digits '5' and 'Q'.
50582 in base 61 = DaD and consists of only the digits 'D' and 'a'.

The number 50582 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequence (among others):

Sequence number and description below are taken from OEIS.
A049051: Numbers n such that n through n+4 all have same number of divisors.

Number of the day: 98881

Properties of the number 98881:

98881 is a cyclic number.
98881 = 61 × 1621 is semiprime and squarefree.
98881 has 2 distinct prime factors, 4 divisors, 7 antidivisors and 97200 totatives.
98881 has a semiprime digit sum 34 in base 10.
98881 has a Fibonacci digit sum 34 in base 10.
Reversing the decimal digits of 98881 results in an emirpimes.
98881 = 49441² - 49440² = 841² - 780² is the difference of 2 nonnegative squares in 2 ways.
98881 is the sum of 2 positive triangular numbers.
98881 is the difference of 2 positive pentagonal numbers in 2 ways.
98881 = 184² + 255² = 135² + 284² is the sum of 2 positive squares in 2 ways.
98881 = 36² + 121² + 288² is the sum of 3 positive squares.
98881² = 62431² + 76680² = 17831² + 97260² = 31169² + 93840² = 47580² + 86681² is the sum of 2 positive squares in 4 ways.
98881² is the sum of 3 positive squares.
98881 is a proper divisor of 1489¹⁵ - 1.
98881 = '9' + '8881' is the concatenation of 2 semiprime numbers.
98881 is an emirpimes in (at least) the following bases: 2, 3, 10, 14, 17, 18, 21, 22, 24, 27, 29, 36, 39, 41, 45, 46, 47, 49, 55, 56, 59, 63, 68, 71, 72, 74, 83, 87, 91, 92, 93, 97, 98, and 100.
98881 is palindromic in (at least) base -53.
98881 in base 52 = aTT and consists of only the digits 'T' and 'a'.

The number 98881 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A020286: Strong pseudoprimes to base 60.
A020315: Strong pseudoprimes to base 89.
A067375: Integers expressible as the sum of (at least two) consecutive primes in at least 5 ways.

Number of the day: 2971

Properties of the number 2971:

2971 is a cyclic number.
2969 and 2971 form a twin prime pair.
2971 has 9 antidivisors and 2970 totatives.
2971 has a prime digit sum 19 in base 10.
2971 = (43 × 44)/2 + … + (45 × 46)/2 is the sum of at least 2 consecutive triangular numbers in 1 way.
2971 = 1486² - 1485² is the difference of 2 nonnegative squares in 1 way.
2971 is the sum of 2 positive triangular numbers.
2971 is the difference of 2 positive pentagonal numbers in 1 way.
2971 = 19² + 33² + 39² is the sum of 3 positive squares.
2971² is the sum of 3 positive squares.
2971 is a proper divisor of 1627¹¹ - 1.
2971 = '2' + '971' is the concatenation of 2 prime numbers.
2971 is an emirp in (at least) the following bases: 7, 11, 15, 20, 27, 41, 44, 50, 51, 55, 59, 61, 62, 63, 72, 76, and 100.
2971 is palindromic in (at least) the following bases: 16, 28, 45, 54, -55, -66, -90, and -99.
2971 in base 16 = b9b and consists of only the digits '9' and 'b'.
2971 in base 28 = 3m3 and consists of only the digits '3' and 'm'.
2971 in base 38 = 227 and consists of only the digits '2' and '7'.
2971 in base 44 = 1NN and consists of only the digits '1' and 'N'.
2971 in base 45 = 1L1 and consists of only the digits '1' and 'L'.
2971 in base 53 = 133 and consists of only the digits '1' and '3'.
2971 in base 54 = 111 and consists of only the digit '1'.

The number 2971 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A000230: Smallest prime p such that there is a gap of 2n between p and next prime.
A001605: Indices of prime Fibonacci numbers.
A002383: Primes of form n^2 + n + 1.
A005448: Centered triangular numbers: a(n) = 3n(n-1)/2 + 1.
A040016: Largest prime < e^n.
A054569: a(n) = 4*n^2 - 6*n + 3.
A061323: Primes with 10 as smallest positive primitive root.
A081256: Greatest prime factor of n^3 + 1.
A085104: Primes of the form 1 + n + n^2 + n^3 + ... + n^k, n > 1, k > 1.
A124993: Primes of the form 22k+1 generated recursively. Initial prime is 23. General term is a(n)=Min {p is prime; p divides (R^11 - 1)/(R - 1); Mod[p,11]=1}, where Q is the product of previous terms in the sequence and R = 11Q.

Number of the day: 3442

Properties of the number 3442:

3442 = 2 × 1721 is semiprime and squarefree.
3442 has 2 distinct prime factors, 4 divisors, 19 antidivisors and 1720 totatives.
3442 has an emirp digit sum 13 in base 10.
3442 has a Fibonacci digit sum 13 in base 10.
Reversing the decimal digits of 3442 results in an emirpimes.
3442 is the sum of 2 positive triangular numbers.
3442 is the difference of 2 positive pentagonal numbers in 2 ways.
3442 = 29² + 51² is the sum of 2 positive squares in 1 way.
3442 = 7² + 12² + 57² is the sum of 3 positive squares.
3442² = 1760² + 2958² is the sum of 2 positive squares in 1 way.
3442² is the sum of 3 positive squares.
3442 is a proper divisor of 1489⁸ - 1.
3442 is an emirpimes in (at least) the following bases: 4, 8, 10, 12, 13, 14, 15, 17, 19, 22, 26, 30, 31, 35, 41, 45, 48, 50, 52, 55, 59, 61, 67, 68, 69, 70, 71, 72, 74, 76, 80, 89, 90, 95, 97, 98, and 99.
3442 is palindromic in (at least) the following bases: 40, -43, and -93.
3442 in base 9 = 4644 and consists of only the digits '4' and '6'.
3442 in base 39 = 2AA and consists of only the digits '2' and 'A'.
3442 in base 40 = 262 and consists of only the digits '2' and '6'.
3442 in base 58 = 11K and consists of only the digits '1' and 'K'.

The number 3442 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A049429: Triangle T(n,d) = number of distinct d-dimensional polyominoes (or polycubes) with n cells (n >= 2,d>=1).
A049430: Triangle read by rows: T(n,d) = number of distinct properly d-dimensional polyominoes (or polycubes) with n cells (n >= 1,d>=0).
A090288: a(n) = 2*n^2 + 6*n + 2.
A096926: Numbers n for which there are exactly five k such that n = k + (product of nonzero digits of k).
A100883: Number of partitions of n in which the sequence of frequencies of the summands is nondecreasing.
A186482: T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock commuting with each of its horizontal and vertical 2X2 subblock neighbors
A195848: Expansion of 1 / f(-x^1, -x^5) in powers of x where f() is Ramanujan's two-variable theta function.
A250877: T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing x(i,j)+x(i-1,j) in the j direction
A295943: T(n,k)=Number of nXk 0..1 arrays with each 1 adjacent to 1 or 3 king-move neighboring 1s.
A299266: Coordination sequence for "cab" 3D uniform tiling formed from octahedra and truncated cubes.

Number of the day: 50876035690

Properties of the number 50876035690:

50876035690 = 2 × 5 × 61781 × 82349 is composite and squarefree.
50876035690 has 4 distinct prime factors, 16 divisors, 17 antidivisors and 20349837760 totatives.
50876035690 has an emirpimes digit sum 49 in base 10.
50876035690 is the difference of 2 positive pentagonal numbers in 2 ways.
50876035690 = 155927² + 162981² = 50969² + 219723² = 145197² + 172609² = 26953² + 223941² is the sum of 2 positive squares in 4 ways.
50876035690 = 1845² + 8404² + 225393² is the sum of 3 positive squares.
50876035690² = 30525621414² + 40700828552² = 17336242848² + 47831220886² = 3250051286² + 50772120048² = 25953769632² + 43758117526² = 22398123174² + 45680357768² = 2249577032² + 50826276774² = 34740737328² + 37167891754² = 12071763546² + 49423107272² = 8711698072² + 50124617946² = 32295427690² + 39311275200² = 5491854810² + 50578755800² = 23105412310² + 45326713200² = 27863231000² + 42567726810² is the sum of 2 positive squares in 13 ways.
50876035690² is the sum of 3 positive squares.
50876035690 is a proper divisor of 197^1470364 - 1.

Number of the day: 5300

Properties of the number 5300:

5300 = 2² × 5² × 53 is the 4597^th composite number and is not squarefree.
5300 has 3 distinct prime factors, 18 divisors, 7 antidivisors and 2080 totatives.
5300 has a Fibonacci digit sum 8 in base 10.
5300 = 8³ + … + 12³ is the sum of at least 2 consecutive cubes.
5300 = (39 × 40)/2 + … + (44 × 45)/2 is the sum of at least 2 consecutive triangular numbers in 1 way.
5300 = 1326² - 1324² = 270² - 260² = 78² - 28² is the difference of 2 nonnegative squares in 3 ways.
5300 is the difference of 2 positive pentagonal numbers in 3 ways.
5300 = 44² + 58² = 26² + 68² = 20² + 70² is the sum of 2 positive squares in 3 ways.
5300 = 4² + 10² + 72² is the sum of 3 positive squares.
5300² = 3180² + 4240² = 1920² + 4940² = 460² + 5280² = 2800² + 4500² = 3536² + 3948² = 1484² + 5088² = 1428² + 5104² is the sum of 2 positive squares in 7 ways.
5300² is the sum of 3 positive squares.
5300 is a proper divisor of 1801² - 1.
5300 is palindromic in (at least) the following bases: 23, 99, -23, and -27.
5300 in base 22 = akk and consists of only the digits 'a' and 'k'.
5300 in base 23 = a0a and consists of only the digits '0' and 'a'.
5300 in base 27 = 778 and consists of only the digits '7' and '8'.
5300 in base 32 = 55k and consists of only the digits '5' and 'k'.

The number 5300 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A091004: Expansion of x(1-x)/((1-2x)(1+3x)).
A091150: Triangle, read by rows, where the n-th row lists the coefficients of the polynomial of degree n that generates the n-th diagonal of this sequence.
A091151: Row sums of triangle A091150, in which the n-th row lists the coefficients of the polynomial of degree n that generates the n-th diagonal.
A152135: Maximal length of rook tour on an n X n+4 board.
A192476: Monotonic ordering of set S generated by these rules: if x and y are in S then x^2 + y^2 is in S, and 1 is in S.
A195805: T(n,k)=Number of triangular nXnXn 0..k arrays with all rows and diagonals having the same length having the same sum, with corners zero
A200192: T(n,k)=Number of -k..k arrays x(0..n-1) of n elements with zero sum, adjacent elements differing by more than one, and elements alternately increasing and decreasing
A224652: Triangle read by rows: T(n,k) is the number of permutations of n elements with k the (smallest) header (first element) of the longest descending subsequence.
A249960: T(n,k)=Number of length n+5 0..k arrays with no six consecutive terms having the maximum of any two terms equal to the minimum of the remaining four terms
A252192: T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 1 3 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 1 3 6 or 7

Number of the day: 977723

Properties of the number 977723:

977723 is a cyclic number.
977723 is the 76908^th prime.
977723 has 13 antidivisors and 977722 totatives.
977723 has a semiprime digit sum 35 in base 10.
Reversing the decimal digits of 977723 results in an emirp.
977723 = 488862² - 488861² is the difference of 2 nonnegative squares in 1 way.
977723 is the difference of 2 positive pentagonal numbers in 1 way.
977723 = 23² + 55² + 987² is the sum of 3 positive squares.
977723² is the sum of 3 positive squares.
977723 is a proper divisor of 3⁴⁸⁸⁸⁶¹ - 1.
977723 = '97' + '7723' is the concatenation of 2 prime numbers.
977723 is an emirp in (at least) the following bases: 10, 14, 21, 23, 25, 29, 35, 38, 42, 43, 47, 49, 58, 59, 68, 71, 75, 79, 80, 83, 88, 92, 94, and 98.

Number of the day: 841290

Properties of the number 841290:

841290 = 2 × 3 × 5 × 29 × 967 is the 774302^th composite number and is squarefree.
841290 has 5 distinct prime factors, 32 divisors, 17 antidivisors and 216384 totatives.
841290 is the sum of 2 positive triangular numbers.
841290 is the difference of 2 positive pentagonal numbers in 4 ways.
841290 = 1² + 20² + 917² is the sum of 3 positive squares.
841290² = 504774² + 673032² = 139248² + 829686² = 98634² + 835488² = 580200² + 609210² is the sum of 2 positive squares in 4 ways.
841290² is the sum of 3 positive squares.
841290 is a proper divisor of 431¹⁴ - 1.

Number of the day: 8803984003

Properties of the number 8803984003:

8803984003 is a cyclic number.
8803984003 is the 402967418^th prime.
8803984003 has 17 antidivisors and 8803984002 totatives.
8803984003 has a prime digit sum 43 in base 10.
8803984003 = 4401992002² - 4401992001² is the difference of 2 nonnegative squares in 1 way.
8803984003 is the sum of 2 positive triangular numbers.
8803984003 is the difference of 2 positive pentagonal numbers in 1 way.
8803984003 = 1245² + 1247² + 93813² is the sum of 3 positive squares.
8803984003² is the sum of 3 positive squares.
8803984003 is a proper divisor of 359^6204358 - 1.
8803984003 = '88039' + '84003' is the concatenation of 2 semiprime numbers.
8803984003 is an emirp in (at least) the following bases: 3, 7, 19, 22, 24, 35, 41, 49, 51, 54, 55, 57, 60, 62, 63, 66, 79, and 83.

Number of the day: 8799861

Augustin-Louis Cauchy was born on this day 229 years ago.

Properties of the number 8799861:

8799861 = 3 × 7² × 59863 is the 8209866^th composite number and is not squarefree.
8799861 has 3 distinct prime factors, 12 divisors, 23 antidivisors and 5028408 totatives.
Reversing the decimal digits of 8799861 results in a sphenic number.
8799861 = 4399931² - 4399930² = 1466645² - 1466642² = 628565² - 628558² = 209531² - 209510² = 89819² - 89770² = 30005² - 29858² is the difference of 2 nonnegative squares in 6 ways.
8799861 is the sum of 2 positive triangular numbers.
8799861 is the difference of 2 positive pentagonal numbers in 3 ways.
8799861 = 89² + 136² + 2962² is the sum of 3 positive squares.
8799861² is the sum of 3 positive squares.
8799861 is a proper divisor of 373⁵⁴⁴² - 1.
8799861 = '87' + '99861' is the concatenation of 2 semiprime numbers.
8799861 = '8799' + '861' is the concatenation of 2 sphenic numbers.

Number of the day: 574917

Properties of the number 574917:

574917 = 3 × 7² × 3911 is the 527719^th composite number and is not squarefree.
574917 has 3 distinct prime factors, 12 divisors, 19 antidivisors and 328440 totatives.
574917 has a semiprime digit sum 33 in base 10.
574917 = 287459² - 287458² = 95821² - 95818² = 41069² - 41062² = 13699² - 13678² = 5891² - 5842² = 2029² - 1882² is the difference of 2 nonnegative squares in 6 ways.
574917 is the sum of 2 positive triangular numbers.
574917 is the difference of 2 positive pentagonal numbers in 3 ways.
574917 = 8² + 17² + 758² is the sum of 3 positive squares.
574917² is the sum of 3 positive squares.
574917 is a proper divisor of 883⁸⁵ - 1.
574917 = '5749' + '17' is the concatenation of 2 prime numbers.
574917 is palindromic in (at least) base -91.

Number of the day: 16452

Properties of the number 16452:

16452 = 2² × 3² × 457 is the 14544^th composite number and is not squarefree.
16452 has 3 distinct prime factors, 18 divisors, 9 antidivisors and 5472 totatives.
16452 has an oblong digit product 240 in base 10.
16452 = 4114² - 4112² = 1374² - 1368² = 466² - 448² is the difference of 2 nonnegative squares in 3 ways.
16452 is the sum of 2 positive triangular numbers.
16452 is the difference of 2 positive pentagonal numbers in 1 way.
16452 = 24² + 126² is the sum of 2 positive squares in 1 way.
16452 = 2² + 8² + 128² is the sum of 3 positive squares.
16452² = 6048² + 15300² is the sum of 2 positive squares in 1 way.
16452² is the sum of 3 positive squares.
16452 is a proper divisor of 1237³ - 1.
16452 is palindromic in (at least) the following bases: 8, 64, -8, and -94.
16452 in base 4 = 10001010 and consists of only the digits '0' and '1'.
16452 in base 16 = 4044 and consists of only the digits '0' and '4'.

The number 16452 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A038471: Sums of 3 distinct powers of 4.
A100998: Indices of primes in sequence defined by A(0) = 97, A(n) = 10*A(n-1) - 63 for n > 0.
A107083: Integers n such that 10^n + 31 is prime.
A125995: A106486-encodings of combinatorial games with value 2.
A160916: Averages of twin prime pairs which are a sum of averages of two consecutive twin prime pairs.
A164876: Record differences for n^2 - phi(n)*sigma(n)
A179306: G.f.: A(x) = exp( Sum_{n>=1} A179307(n)*x^n/n ), where A179307(n) = Sum_{d|n} C(n,d)*sigma(d)*sigma(n/d).
A212064: Number of (w,x,y,z) with all terms in {1,...,n} and w^2>=x*y*z.
A226903: Shiraishi numbers: a parametrized family of solutions c to the Diophantine equation a^3 + b^3 + c^3 = d^3 with d = c+1.
A301887: Number of 4Xn 0..1 arrays with every element equal to 0, 1 or 3 horizontally or antidiagonally adjacent elements, with upper left element zero.

Number of the day: 5598

Properties of the number 5598:

5598 = 2 × 3² × 311 is the 4859^th composite number and is not squarefree.
5598 has 3 distinct prime factors, 12 divisors, 7 antidivisors and 1860 totatives.
5598 is the sum of 2 positive triangular numbers.
5598 is the difference of 2 positive pentagonal numbers in 2 ways.
5598 = 10² + 13² + 73² is the sum of 3 positive squares.
5598² is the sum of 3 positive squares.
5598 is a proper divisor of 1867³ - 1.
5598 is palindromic in (at least) the following bases: 21, and 26.
5598 in base 21 = cec and consists of only the digits 'c' and 'e'.
5598 in base 25 = 8nn and consists of only the digits '8' and 'n'.
5598 in base 26 = 878 and consists of only the digits '7' and '8'.
5598 in base 30 = 66i and consists of only the digits '6' and 'i'.

The number 5598 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A008888: Aliquot sequence starting at 138.
A008889: Aliquot sequence starting at 150.
A011796: Number of irreducible alternating Euler sums of depth 6 and weight 6+2n.
A100436: Number of distinct products i*j*k for 1 <= i < j <= k <= n.
A108284: Triangle read by rows, related to A108283.
A114422: Riordan array (1/sqrt(1-2x-3x^2), M(x)-1) where M(x) is the g.f. of the Motzkin numbers A001006.
A132831: Largest terms a(n) forming a self-convolution of an integer sequence (A132832) such that: a(n) <= 2*a(n-1) for n>0 with a(0)=1.
A226936: Number T(n,k) of squares of size k^2 in all tilings of an n X n square using integer sided square tiles; triangle T(n,k), n>=1, 1<=k<=n, read by rows.
A230856: Numbers n such that m + (sum of digits in base-3 representation of m) = n has exactly four solutions.
A299267: Partial sums of A299266.

Number of the day: 90297

Pierre de Fermat was born on this day 417 years ago.

Properties of the number 90297:

90297 = 3² × 79 × 127 is the 81551^th composite number and is not squarefree.
90297 has 3 distinct prime factors, 12 divisors, 19 antidivisors and 58968 totatives.
90297 = 45149² - 45148² = 15051² - 15048² = 5021² - 5012² = 611² - 532² = 419² - 292² = 309² - 72² is the difference of 2 nonnegative squares in 6 ways.
90297 is the difference of 2 positive pentagonal numbers in 1 way.
90297 = 7² + 38² + 298² is the sum of 3 positive squares.
90297² is the sum of 3 positive squares.
90297 is a proper divisor of 631¹⁴ - 1.
90297 = '9029' + '7' is the concatenation of 2 prime numbers.
90297 is palindromic in (at least) the following bases: 99, and -74.
90297 in base 48 = d99 and consists of only the digits '9' and 'd'.

The number 90297 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequence (among others):

Sequence number and description below are taken from OEIS.
A115939: Numbers n such that the n-th triangular number contains each of the 10 decimal digits exactly once.

Number of the day: 977694

Arthur Cayley was born on this day 197 years ago.

Properties of the number 977694:

977694 = 2 × 3 × 47 × 3467 is the 900787^th composite number and is squarefree.
977694 has 4 distinct prime factors, 16 divisors, 13 antidivisors and 318872 totatives.
977694 has a sphenic digit sum 42 in base 10.
977694 has an oblong digit sum 42 in base 10.
Reversing the decimal digits of 977694 results in a sphenic number.
977694 is the difference of 2 positive pentagonal numbers in 2 ways.
977694 = 37² + 238² + 959² is the sum of 3 positive squares.
977694² is the sum of 3 positive squares.
977694 is a proper divisor of 1129¹⁷³³ - 1.
977694 = '97769' + '4' is the concatenation of 2 semiprime numbers.
977694 is palindromic in (at least) base 46.
977694 in base 46 = A22A and consists of only the digits '2' and 'A'.

Number of the day: 27013391048

Properties of the number 27013391048:

27013391048 = 2³ × 7 × 482381983 is composite and not squarefree.
27013391048 has 3 distinct prime factors, 16 divisors, 131 antidivisors and 11577167568 totatives.
27013391048 has a semiprime digit sum 38 in base 10.
27013391048 = 624³ + 1876³ + 2722³ is the sum of 3 positive cubes in 1 way.
27013391048 = 6753347763² - 6753347761² = 3376673883² - 3376673879² = 964763973² - 964763959² = 482381997² - 482381969² is the difference of 2 nonnegative squares in 4 ways.
27013391048 = 16² + 1074² + 164354² is the sum of 3 positive squares.
27013391048² is the sum of 3 positive squares.
27013391048 is a proper divisor of 449^26798999 - 1.

Number of the day: 502287586

Properties of the number 502287586:

502287586 = 2 × 10169 × 24697 is a sphenic number and squarefree.
502287586 has 3 distinct prime factors, 8 divisors, 23 antidivisors and 251108928 totatives.
502287586 has a prime digit sum 43 in base 10.
Reversing the decimal digits of 502287586 results in a sphenic number.
502287586 is the difference of 2 positive pentagonal numbers in 2 ways.
502287586 = 15719² + 15975² = 11425² + 19281² is the sum of 2 positive squares in 2 ways.
502287586 = 780² + 1219² + 22365² is the sum of 3 positive squares.
502287586² = 241226336² + 440570850² = 120563664² + 487603550² = 8113664² + 502222050² = 128424400² + 485592414² is the sum of 2 positive squares in 4 ways.
502287586² is the sum of 3 positive squares.
502287586 is a proper divisor of 1181⁴⁵⁷⁵⁶ - 1.
502287586 = '502287' + '586' is the concatenation of 2 semiprime numbers.

Number of the day: 9779749683

Properties of the number 9779749683:

9779749683 = 3 × 11 × 37 × 8009623 is the 9334267160^th composite number and is squarefree.
9779749683 has 4 distinct prime factors, 16 divisors, 51 antidivisors and 5766927840 totatives.
9779749683 has a semiprime digit sum 69 in base 10.
9779749683 = 4889874842² - 4889874841² = 1629958282² - 1629958279² = 444534082² - 444534071² = 148178042² - 148178009² = 132158798² - 132158761² = 44052982² - 44052871² = 12014638² - 12014231² = 4005422² - 4004201² is the difference of 2 nonnegative squares in 8 ways.
9779749683 is the difference of 2 positive pentagonal numbers in 4 ways.
9779749683 = 647² + 1043² + 98885² is the sum of 3 positive squares.
9779749683² = 3171810708² + 9251114565² is the sum of 2 positive squares in 1 way.
9779749683² is the sum of 3 positive squares.
9779749683 is a proper divisor of 1627⁸⁸⁹⁹⁵⁸ - 1.

Number of the day: 97294096

Properties of the number 97294096:

97294096 = 2⁴ × 6080881 is the 91679615^th composite number and is not squarefree.
97294096 has 2 distinct prime factors, 10 divisors, 9 antidivisors and 48647040 totatives.
97294096 has a semiprime digit sum 46 in base 10.
Reversing the decimal digits of 97294096 results in a sphenic number.
97294096 = 24323525² - 24323523² = 12161764² - 12161760² = 6080885² - 6080877² is the difference of 2 nonnegative squares in 3 ways.
97294096 is the sum of 2 positive triangular numbers.
97294096 is the difference of 2 positive pentagonal numbers in 1 way.
97294096 = 4580² + 8736² is the sum of 2 positive squares in 1 way.
97294096 = 384² + 1124² + 9792² is the sum of 3 positive squares.
97294096² = 55341296² + 80021760² is the sum of 2 positive squares in 1 way.
97294096² is the sum of 3 positive squares.
97294096 is a proper divisor of 1163³¹² - 1.
97294096 = '9729409' + '6' is the concatenation of 2 semiprime numbers.

Number of the day: 33112940

Properties of the number 33112940:

33112940 = 2² × 5 × 7 × 17 × 13913 is the 31074781^th composite number and is not squarefree.
33112940 has 5 distinct prime factors, 48 divisors, 39 antidivisors and 10684416 totatives.
33112940 has a prime digit sum 23 in base 10.
33112940 = 8278236² - 8278234² = 1655652² - 1655642² = 1182612² - 1182598² = 486972² - 486938² = 236556² - 236486² = 97476² - 97306² = 69684² - 69446² = 14508² - 13318² is the difference of 2 nonnegative squares in 8 ways.
33112940 is the difference of 2 positive pentagonal numbers in 7 ways.
33112940 = 130² + 414² + 5738² is the sum of 3 positive squares.
33112940² = 15582560² + 29217300² = 14184940² + 29920800² = 4888800² + 32750060² = 23266768² + 23561076² = 5064332² + 32723376² = 15425676² + 29300432² = 15738996² + 29133328² = 14024304² + 29996428² = 6604528² + 32447604² = 19867764² + 26490352² = 9441936² + 31738252² = 177548² + 33112464² = 19725440² + 26596500² is the sum of 2 positive squares in 13 ways.
33112940² is the sum of 3 positive squares.
33112940 is a proper divisor of 373¹² - 1.

Number of the day: 90218009912

Properties of the number 90218009912:

90218009912 = 2³ × 1279 × 8817241 is composite and not squarefree.
90218009912 has 3 distinct prime factors, 16 divisors, 61 antidivisors and 45073730880 totatives.
90218009912 has a prime digit sum 41 in base 10.
Reversing the decimal digits of 90218009912 results in a semiprime.
90218009912 = 22554502479² - 22554502477² = 11277251241² - 11277251237² = 17635761² - 17633203² = 8819799² - 8814683² is the difference of 2 nonnegative squares in 4 ways.
90218009912 = 162² + 1748² + 300358² is the sum of 3 positive squares.
90218009912² = 44419250488² + 78525279360² is the sum of 2 positive squares in 1 way.
90218009912² is the sum of 3 positive squares.
90218009912 is a proper divisor of 1783^2204310 - 1.

Number of the day: 79447

Johann Bernoulli was born on this day 351 years ago.

Properties of the number 79447:

79447 is a cyclic number.
79447 = 53 × 1499 is semiprime and squarefree.
79447 has 2 distinct prime factors, 4 divisors, 35 antidivisors and 77896 totatives.
79447 has an emirp digit sum 31 in base 10.
Reversing the decimal digits of 79447 results in a sphenic number.
79447 = 39724² - 39723² = 776² - 723² is the difference of 2 nonnegative squares in 2 ways.
79447 is the sum of 2 positive triangular numbers.
79447 is the difference of 2 positive pentagonal numbers in 2 ways.
79447 is not the sum of 3 positive squares.
79447² = 41972² + 67455² is the sum of 2 positive squares in 1 way.
79447² is the sum of 3 positive squares.
79447 is a proper divisor of 953¹⁴ - 1.
79447 is an emirpimes in (at least) the following bases: 5, 7, 16, 18, 19, 23, 24, 25, 28, 29, 33, 35, 36, 38, 41, 42, 43, 44, 45, 49, 50, 51, 52, 56, 62, 64, 69, 71, 76, 77, 78, 79, 81, 83, 84, 87, 92, 94, 95, 97, 99, and 100.
79447 is palindromic in (at least) base -55.
79447 in base 54 = RDD and consists of only the digits 'D' and 'R'.
79447 in base 61 = LLP and consists of only the digits 'L' and 'P'.

The number 79447 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequence (among others):

Sequence number and description below are taken from OEIS.
A041530: Numerators of continued fraction convergents to sqrt(282).

Number of the day: 2372

Niels Henrik Abel was born on this day 216 years ago.

Properties of the number 2372:

2372 = 2² × 593 is the 2020^th composite number and is not squarefree.
2372 has 2 distinct prime factors, 6 divisors, 17 antidivisors and 1184 totatives.
2372 has a semiprime digit sum 14 in base 10.
2372 = 594² - 592² is the difference of 2 nonnegative squares in 1 way.
2372 is the difference of 2 positive pentagonal numbers in 1 way.
2372 = 16² + 46² is the sum of 2 positive squares in 1 way.
2372 = 2² + 8² + 48² is the sum of 3 positive squares.
2372² = 1472² + 1860² is the sum of 2 positive squares in 1 way.
2372² is the sum of 3 positive squares.
2372 is a proper divisor of 1187² - 1.
2372 is palindromic in (at least) the following bases: 30, -6, and -17.
2372 in base 7 = 6626 and consists of only the digits '2' and '6'.
2372 in base 16 = 944 and consists of only the digits '4' and '9'.
2372 in base 29 = 2nn and consists of only the digits '2' and 'n'.
2372 in base 30 = 2j2 and consists of only the digits '2' and 'j'.
2372 in base 48 = 11K and consists of only the digits '1' and 'K'.

The number 2372 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A002104: Logarithmic numbers.
A025048: Ascending wiggly sums: number of sums adding to n in which terms alternately increase and decrease.
A046716: Coefficients of a special case of Poisson-Charlier polynomials.
A094816: Triangle read by rows: T(n,k), 0<=k<=n, = coefficients of Charlier polynomials: A046716 transposed.
A097812: Numbers n such that n^2 is the sum of two or more consecutive positive squares.
A134619: Numbers such that the arithmetic mean of the cubes of their prime factors (taken with multiplicity) is a prime.
A194434: D-toothpick sequence of the second kind starting with a X-shaped cross formed by 4 D-toothpicks.
A198632: Triangle version of the array of the number of closed paths of even length on the graph P_n (n vertices, n-1 edges).
A220063: Decades whose semiprime pattern is the same as semiprime pattern in the previous decade.
A232908: T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally or antidiagonally

Number of the day: 1158

William Rowan Hamilton was born on this day 213 years ago.

John Venn was born on this day 184 years ago.

Properties of the number 1158:

1158 = 2 × 3 × 193 is a sphenic number and squarefree.
1158 has 3 distinct prime factors, 8 divisors, 7 antidivisors and 384 totatives.
1158 has an emirpimes digit sum 15 in base 10.
1158 has a triangular digit sum 15 in base 10.
Reversing the decimal digits of 1158 results in a semiprime.
1158 is the sum of 2 positive triangular numbers.
1158 = 1² + 14² + 31² is the sum of 3 positive squares.
1158² = 570² + 1008² is the sum of 2 positive squares in 1 way.
1158² is the sum of 3 positive squares.
1158 is a proper divisor of 773² - 1.
1158 is palindromic in (at least) the following bases: -21, and -89.
1158 in base 19 = 33i and consists of only the digits '3' and 'i'.

The number 1158 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A005899: Number of points on surface of octahedron; also coordination sequence for cubic lattice: a(0) = 1; for n > 0, a(n) = 4n^2 + 2,
A010000: a(0) = 1, a(n) = n^2 + 2 for n>0.
A025327: Numbers that are the sum of 3 nonzero squares in exactly 7 ways.
A026780: Triangular array T read by rows: T(n,0)=T(n,n)=1 for n >= 0; for n >= 2 and 1<=k<=n-1, T(n,k)=T(n-1,k-1)+T(n-2,k-1)+T(n-1,k) if 1<=k<=[ n/2 ], else T(n,k)=T(n-1,k-1)+T(n-1,k).
A051228: Bernoulli number B_{n} has denominator 42.
A059100: a(n) = n^2 + 2.
A096681: Least k such that decimal representation of k*n contains only digits 0 and 2.
A135850: Numbers n such that there are precisely 6 groups of order n.
A279420: Numbers k such that k^2 has an odd number of digits and the middle digit is 0.
A303305: Generalized 17-gonal (or heptadecagonal) numbers: m*(15*m - 13)/2 with m = 0, +1, -1, +2, -2, +3, -3, ...

Number of the day: 586525

Properties of the number 586525:

586525 = 5² × 29 × 809 is the 538442^th composite number and is not squarefree.
586525 has 3 distinct prime factors, 12 divisors, 47 antidivisors and 452480 totatives.
586525 has an emirp digit sum 31 in base 10.
Reversing the decimal digits of 586525 results in a semiprime.
586525 = 141² + … + 165² is the sum of at least 2 consecutive positive squares in 1 way.
586525 = 293263² - 293262² = 58655² - 58650² = 11743² - 11718² = 10127² - 10098² = 2095² - 1950² = 767² - 42² is the difference of 2 nonnegative squares in 6 ways.
586525 is the difference of 2 positive pentagonal numbers in 5 ways.
586525 = 507² + 574² = 66² + 763² = 405² + 650² = 155² + 750² = 326² + 693² = 277² + 714² is the sum of 2 positive squares in 6 ways.
586525 = 16² + 75² + 762² is the sum of 3 positive squares.
586525² = 258475² + 526500² = 203000² + 550275² = 232500² + 538475² = 291280² + 509085² = 167765² + 562020² = 266115² + 522680² = 318420² + 492565² = 137085² + 570280² = 109120² + 576285² = 348957² + 471424² = 100716² + 577813² = 72427² + 582036² = 395556² + 433067² = 40803² + 585104² = 373973² + 451836² = 351915² + 469220² = 97080² + 578435² = 68765² + 582480² = 404500² + 424725² = 294476² + 507243² = 164227² + 563064² = 269397² + 520996² is the sum of 2 positive squares in 22 ways.
586525² is the sum of 3 positive squares.
586525 is a proper divisor of 853⁴⁰ - 1.
586525 is palindromic in (at least) the following bases: 93, and -97.

Number of the day: 465

Properties of the number 465:

465 = 3 × 5 × 31 is a sphenic number and squarefree.
465 has 3 distinct prime factors, 8 divisors, 11 antidivisors and 240 totatives.
465 has an emirpimes digit sum 15 in base 10.
465 has a triangular digit sum 15 in base 10.
465 has a triangular digit product 120 in base 10.
465 = 233² - 232² = 79² - 76² = 49² - 44² = 23² - 8² is the difference of 2 nonnegative squares in 4 ways.
465 = (30 × 31)/2 is a triangular number.
465 is the difference of 2 positive pentagonal numbers in 2 ways.
465 = 10² + 13² + 14² is the sum of 3 positive squares.
465² = 279² + 372² is the sum of 2 positive squares in 1 way.
465² is the sum of 3 positive squares.
465 is a proper divisor of 61² - 1.
465 = '4' + '65' is the concatenation of 2 semiprime numbers.
465 is palindromic in (at least) the following bases: 11, 16, 30, 92, -9, -10, -14, -29, and -58.
465 in base 5 = 3330 and consists of only the digits '0' and '3'.
465 in base 9 = 566 and consists of only the digits '5' and '6'.
465 in base 11 = 393 and consists of only the digits '3' and '9'.
465 in base 16 = 1d1 and consists of only the digits '1' and 'd'.
465 in base 21 = 113 and consists of only the digits '1' and '3'.

The number 465 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A000217: Triangular numbers: a(n) = binomial(n+1,2) = n(n+1)/2 = 0 + 1 + 2 + ... + n.
A000931: Padovan sequence (or Padovan numbers): a(n) = a(n-2) + a(n-3) with a(0)=1, a(1)=a(2)=0.
A003114: Number of partitions of n into parts 5k+1 or 5k+4.
A006046: Total number of odd entries in first n rows of Pascal's triangle: a(0) = 0, a(1) = 1, a(2k) = 3*a(k), a(2k+1) = 2*a(k) + a(k+1).
A007294: Number of partitions of n into nonzero triangular numbers.
A008137: Coordination sequence T1 for Zeolite Code LTA and RHO.
A014105: Second hexagonal numbers: a(n) = n*(2n+1).
A023896: Sum of positive integers in smallest positive reduced residue system modulo n. a(1) = 1 by convention.
A024816: Antisigma(n): Sum of the numbers less than n that do not divide n.
A108917: Number of knapsack partitions of n.

Number of the day: 437652

Properties of the number 437652:

437652 = 2² × 3² × 12157 is the 400883^th composite number and is not squarefree.
437652 has 3 distinct prime factors, 18 divisors, 13 antidivisors and 145872 totatives.
437652 = 109414² - 109412² = 36474² - 36468² = 12166² - 12148² is the difference of 2 nonnegative squares in 3 ways.
437652 is the difference of 2 positive pentagonal numbers in 1 way.
437652 = 414² + 516² is the sum of 2 positive squares in 1 way.
437652 = 2² + 112² + 652² is the sum of 3 positive squares.
437652² = 94860² + 427248² is the sum of 2 positive squares in 1 way.
437652² is the sum of 3 positive squares.
437652 is a proper divisor of 37²⁰²⁶ - 1.
437652 is palindromic in (at least) the following bases: -78, and -79.