Number of the day: 39093501740

Pierre Joseph Louis Fatou was born on this day 139 years ago.

Properties of the number 39093501740:

39093501740 = 2² × 5 × 557 × 3509291 is composite and not squarefree.
39093501740 has 4 distinct prime factors, 24 divisors, 25 antidivisors and 15609321920 totatives.
39093501740 has a prime digit sum 41 in base 10.
39093501740 = 9773375436² - 9773375434² = 1954675092² - 1954675082² = 17547012² - 17545898² = 3512076² - 3506506² is the difference of 2 nonnegative squares in 4 ways.
39093501740 is the difference of 2 positive pentagonal numbers in 4 ways.
39093501740 = 10² + 1046² + 197718² is the sum of 3 positive squares.
39093501740² = 23456101044² + 31274801392² = 13138785504² + 36819481172² = 22922688812² + 31667841984² = 11580660300² + 37338856240² is the sum of 2 positive squares in 4 ways.
39093501740² is the sum of 3 positive squares.
39093501740 is a divisor of 1553²⁴²⁰²⁰ - 1.

Number of the day: 717335

Luitzen Egbertus Jan Brouwer was born on this day 136 years ago.

Properties of the number 717335:

717335 = 5 × 143467 is semiprime and squarefree.
717335 has 2 distinct prime factors, 4 divisors, 31 antidivisors and 573864 totatives.
717335 has an emirpimes digit sum 26 in base 10.
Reversing the decimal digits of 717335 results in an emirpimes.
717335 = 358668² - 358667² = 71736² - 71731² is the difference of 2 nonnegative squares in 2 ways.
717335 is the difference of 2 positive pentagonal numbers in 2 ways.
717335 is not the sum of 3 positive squares.
717335² = 430401² + 573868² is the sum of 2 positive squares in 1 way.
717335² is the sum of 3 positive squares.
717335 is a divisor of 41²³⁹¹¹ - 1.
717335 = '717' + '335' is the concatenation of 2 semiprime numbers.
717335 is an emirpimes in (at least) the following bases: 5, 10, 15, 17, 19, 22, 23, 28, 31, 37, 38, 40, 41, 45, 46, 47, 50, 61, 62, 63, 65, 69, 82, 84, 87, 93, 94, 95, and 97.

Number of the day: 620469

Properties of the number 620469:

620469 = 3² × 71 × 971 is the 569819^th composite number and is not squarefree.
620469 has 3 distinct prime factors, 12 divisors, 19 antidivisors and 407400 totatives.
620469 = 310235² - 310234² = 103413² - 103410² = 34475² - 34466² = 4405² - 4334² = 1563² - 1350² = 805² - 166² is the difference of 2 nonnegative squares in 6 ways.
620469 is the sum of 2 positive triangular numbers.
620469 is the difference of 2 positive pentagonal numbers in 1 way.
620469 = 22² + 73² + 784² is the sum of 3 positive squares.
620469² is the sum of 3 positive squares.
620469 is a divisor of 1601⁷⁰ - 1.
620469 = '6' + '20469' is the concatenation of 2 semiprime numbers.
620469 is palindromic in (at least) base -19.
620469 in base 21 = 33kk3 and consists of only the digits '3' and 'k'.

Number of the day: 839584494279

Properties of the number 839584494279:

839584494279 = 3² × 43789 × 2130379 is composite and not squarefree.
839584494279 has 3 distinct prime factors, 12 divisors, 13 antidivisors and 559709951184 totatives.
839584494279 has an oblong digit sum 72 in base 10.
839584494279 = 419792247140² - 419792247139² = 139930749048² - 139930749045² = 46643583020² - 46643583011² = 9608600² - 9564811² = 3261252² - 3129885² = 1262240² - 868139² is the difference of 2 nonnegative squares in 6 ways.
839584494279 is the difference of 2 positive pentagonal numbers in 2 ways.
839584494279 is not the sum of 3 positive squares.
839584494279² = 330166137420² + 771940700271² is the sum of 2 positive squares in 1 way.
839584494279² is the sum of 3 positive squares.
839584494279 is a divisor of 353^87345498 - 1.
839584494279 = '83958449' + '4279' is the concatenation of 2 semiprime numbers.

Number of the day: 3504

Properties of the number 3504:

3504 = 2⁴ × 3 × 73 is the 3014^th composite number and is not squarefree.
3504 has 3 distinct prime factors, 20 divisors, 15 antidivisors and 1152 totatives.
3504 has an oblong digit sum 12 in base 10.
Reversing the decimal digits of 3504 results in a sphenic number.
3504 = 877² - 875² = 440² - 436² = 295² - 289² = 223² - 215² = 152² - 140² = 85² - 61² is the difference of 2 nonnegative squares in 6 ways.
3504 is the difference of 2 positive pentagonal numbers in 1 way.
3504 = 20² + 20² + 52² is the sum of 3 positive squares.
3504² = 2304² + 2640² is the sum of 2 positive squares in 1 way.
3504² is the sum of 3 positive squares.
3504 is a divisor of 439² - 1.
3504 is palindromic in (at least) the following bases: 28, and 72.
3504 in base 8 = 6660 and consists of only the digits '0' and '6'.
3504 in base 17 = c22 and consists of only the digits '2' and 'c'.
3504 in base 27 = 4ll and consists of only the digits '4' and 'l'.
3504 in base 28 = 4d4 and consists of only the digits '4' and 'd'.
3504 in base 29 = 44o and consists of only the digits '4' and 'o'.

The number 3504 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A001106: 9-gonal (or enneagonal or nonagonal) numbers: a(n) = n*(7*n-5)/2.
A033580: Four times second pentagonal numbers: a(n) = 2*n*(3*n+1).
A050208: Starting positions of strings of 2 1's in the decimal expansion of Pi.
A062717: Numbers m such that 6*m+1 is a perfect square.
A105078: Positive integers n such that n^10 + 1 is semiprime.
A183517: T(n,k)=Number of nXk binary arrays with each element equal to either the sum mod 2 of its horizontal and vertical neighbors or the sum mod 2 of its diagonal and antidiagonal neighbors
A199943: T(n,k)=Number of -k..k arrays x(0..n-1) of n elements with zeroth through n-1st differences all nonzero
A201155: T(n,k)=Number of nXk 0..2 arrays with every diagonal, row and column running average nondecreasing rightwards and downwards and diagonally
A207100: T(n,k)=Number of 0..k arrays x(0..n-1) of n elements with each no smaller than the sum of its two previous neighbors modulo (k+1)
A235954: T(n,k)=Number of (n+1)X(k+1) 0..2 arrays colored with the upper median value of each 2X2 subblock

Number of the day: 7844811

Properties of the number 7844811:

7844811 = 3 × 13² × 15473 is the 7314806^th composite number and is not squarefree.
7844811 has 3 distinct prime factors, 12 divisors, 17 antidivisors and 4827264 totatives.
7844811 has a semiprime digit sum 33 in base 10.
Reversing the decimal digits of 7844811 results in a semiprime.
7844811 = 3922406² - 3922405² = 1307470² - 1307467² = 301730² - 301717² = 100594² - 100555² = 23294² - 23125² = 7990² - 7483² is the difference of 2 nonnegative squares in 6 ways.
7844811 is the difference of 2 positive pentagonal numbers in 3 ways.
7844811 = 169² + 245² + 2785² is the sum of 3 positive squares.
7844811² = 5102955² + 5958264² = 2418780² + 7462611² = 3537261² + 7002060² = 637515² + 7818864² = 572064² + 7823925² = 3017235² + 7241364² = 5523861² + 5570280² is the sum of 2 positive squares in 7 ways.
7844811² is the sum of 3 positive squares.
7844811 is a divisor of 577⁷⁷³⁶ - 1.

Number of the day: 31743487794220

Frank Plumpton Ramsey was born on this day 114 years ago.

Properties of the number 31743487794220:

31743487794220 = 2² × 5 × 277 × 5729871443 is composite and not squarefree.
31743487794220 has 4 distinct prime factors, 24 divisors, 27 antidivisors and 12651556143936 totatives.
31743487794220 has a prime digit sum 61 in base 10.
31743487794220 = 7935871948556² - 7935871948554² = 1587174389716² - 1587174389706² = 28649357492² - 28649356938² = 5729872828² - 5729870058² is the difference of 2 nonnegative squares in 4 ways.
31743487794220 is the sum of 2 positive triangular numbers.
31743487794220 is the difference of 2 positive pentagonal numbers in 4 ways.
31743487794220 = 4154² + 19110² + 5634102² is the sum of 3 positive squares.
31743487794220² = 19046092676532² + 25394790235376² = 6784167788512² + 31010064249516² = 15195619066836² + 27870094698752² = 13178704318900² + 28878552072720² is the sum of 2 positive squares in 4 ways.
31743487794220² is the sum of 3 positive squares.
31743487794220 is a divisor of 223^2961506588 - 1.