Tuesday, September 27, 2016

Number of the day: 46040

Properties of the number 46040:

46040 = 23 × 5 × 1151 is the 41276th composite number and is not squarefree.
46040 has 3 distinct prime factors, 16 divisors, 17 antidivisors and 18400 totatives.
46040 has a semiprime digit sum 14 in base 10.
46040 = 115112 - 115092 = 57572 - 57532 = 23072 - 22972 = 11612 - 11412 is the difference of 2 nonnegative squares in 4 ways.
46040 is the difference of 2 positive pentagonal numbers in 2 ways.
46040 = 102 + 122 + 2142 is the sum of 3 positive squares.
460402 = 276242 + 368322 is the sum of 2 positive squares in 1 way.
460402 is the sum of 3 positive squares.
46040 is a divisor of 161910 - 1.
46040 is palindromic in (at least) the following bases: 93, -67, and -99.
46040 in base 59 = DDK and consists of only the digits 'D' and 'K'.

The number 46040 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A120543: Bond series for second parallel moment of hexagonal net.
A120549: Site percolation series for Kagome lattice.
A157652: 8000n - 1960.
A224141: Number of nX3 0..1 arrays with rows and antidiagonals unimodal and columns nondecreasing

Monday, September 26, 2016

Number of the day: 890943

Properties of the number 890943:

890943 = 3 × 296981 is semiprime and squarefree.
890943 has 2 distinct prime factors, 4 divisors, 19 antidivisors and 593960 totatives.
890943 has a semiprime digit sum 33 in base 10.
890943 = 4454722 - 4454712 = 1484922 - 1484892 is the difference of 2 nonnegative squares in 2 ways.
890943 is the difference of 2 positive pentagonal numbers in 1 way.
890943 is not the sum of 3 positive squares.
8909432 = 1176572 + 8831402 is the sum of 2 positive squares in 1 way.
8909432 is the sum of 3 positive squares.
890943 is a divisor of 971310 - 1.
890943 is an emirpimes in (at least) the following bases: 4, 12, 14, 17, 23, 26, 27, 30, 31, 39, 50, 57, 63, 64, 66, 71, 72, 77, 78, 81, 82, 84, 87, 90, and 91.
890943 is palindromic in (at least) base -97.

Sunday, September 25, 2016

Number of the day: 797509

Properties of the number 797509:

797507 and 797509 form a twin prime pair.
797509 has 5 antidivisors and 797508 totatives.
797509 has an emirp digit sum 37 in base 10.
Reversing the decimal digits of 797509 results in a semiprime.
797509 = 3987552 - 3987542 is the difference of 2 nonnegative squares in 1 way.
797509 is the difference of 2 positive pentagonal numbers in 1 way.
797509 = 2222 + 8652 is the sum of 2 positive squares in 1 way.
797509 = 822 + 1532 + 8762 is the sum of 3 positive squares.
7975092 = 3840602 + 6989412 is the sum of 2 positive squares in 1 way.
7975092 is the sum of 3 positive squares.
797509 is a divisor of 6122153 - 1.
797509 = '797' + '509' is the concatenation of 2 prime numbers.
797509 is an emirp in (at least) the following bases: 15, 21, 25, 30, 36, 37, 54, 55, 57, 59, 65, 67, 69, 83, 91, 92, and 100.
797509 is palindromic in (at least) base 98.
797509 in base 17 = 99595 and consists of only the digits '5' and '9'.

Saturday, September 24, 2016

Number of the day: 28470

Gerolamo Cardano was born on this day 515 years ago.

Properties of the number 28470:

28470 = 2 × 3 × 5 × 13 × 73 is the 25372th composite number and is squarefree.
28470 has 5 distinct prime factors, 32 divisors, 17 antidivisors and 6912 totatives.
28470 has a semiprime digit sum 21 in base 10.
28470 has a Fibonacci digit sum 21 in base 10.
28470 has a triangular digit sum 21 in base 10.
28470 = (75 × 76)/2 + … + (83 × 84)/2 is the sum of at least 2 consecutive triangular numbers in 1 way.
28470 is the difference of 2 positive pentagonal numbers in 3 ways.
28470 = 262 + 352 + 1632 is the sum of 3 positive squares.
284702 = 187202 + 214502 = 90302 + 270002 = 126002 + 255302 = 89762 + 270182 = 21062 + 283922 = 128642 + 253982 = 59282 + 278462 = 52382 + 279842 = 161822 + 234242 = 170822 + 227762 = 70082 + 275942 = 144542 + 245282 = 109502 + 262802 is the sum of 2 positive squares in 13 ways.
284702 is the sum of 3 positive squares.
28470 is a divisor of 14874 - 1.
28470 is palindromic in (at least) the following bases: 41, and -86.
28470 in base 3 = 1110001110 and consists of only the digits '0' and '1'.
28470 in base 27 = 1c1c and consists of only the digits '1' and 'c'.
28470 in base 41 = GcG and consists of only the digits 'G' and 'c'.

The number 28470 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A062254: 3rd level triangle related to Eulerian numbers and binomial transforms (A062253 is second level, triangle of Eulerian numbers is first level and triangle with Z(0,0)=1 and Z(n,k)=0 otherwise is 0th level).
A133409: Zero followed by partial sums of A133405.
A217020: Eulerian numbers of the third order.

Friday, September 23, 2016

Number of the day: 92806737

Properties of the number 92806737:

92806737 = 3 × 283 × 109313 is a sphenic number and squarefree.
92806737 has 3 distinct prime factors, 8 divisors, 17 antidivisors and 61651968 totatives.
92806737 has a sphenic digit sum 42 in base 10.
92806737 has an oblong digit sum 42 in base 10.
Reversing the decimal digits of 92806737 results in a sphenic number.
92806737 = 464033692 - 464033682 = 154677912 - 154677882 = 1641112 - 1638282 = 550812 - 542322 is the difference of 2 nonnegative squares in 4 ways.
92806737 is the sum of 2 positive triangular numbers.
92806737 is the difference of 2 positive pentagonal numbers in 2 ways.
92806737 = 1762 + 4812 + 96202 is the sum of 3 positive squares.
928067372 = 193444652 + 907682882 is the sum of 2 positive squares in 1 way.
928067372 is the sum of 3 positive squares.
92806737 is a divisor of 18475734 - 1.

Thursday, September 22, 2016

Number of the day: 6211547495646

Properties of the number 6211547495646:

6211547495646 = 2 × 3 × 43 × 563 × 42763349 is composite and squarefree.
6211547495646 has 5 distinct prime factors, 32 divisors, 47 antidivisors and 2018772132384 totatives.
Reversing the decimal digits of 6211547495646 results in a sphenic number.
6211547495646 is the difference of 2 positive pentagonal numbers in 4 ways.
6211547495646 = 4992 + 17062 + 24922972 is the sum of 3 positive squares.
62115474956462 = 28176227118542 + 55357316178002 is the sum of 2 positive squares in 1 way.
62115474956462 is the sum of 3 positive squares.
6211547495646 is a divisor of 953783684834 - 1.
6211547495646 = '621154' + '7495646' is the concatenation of 2 semiprime numbers.
6211547495646 = '6211547' + '495646' is the concatenation of 2 sphenic numbers.

Wednesday, September 21, 2016

Number of the day: 25233702813143

Properties of the number 25233702813143:

25233702813143 = 11 × 83 × 122299 × 225989 is composite and squarefree.
25233702813143 has 4 distinct prime factors, 16 divisors, 23 antidivisors and 22663061947680 totatives.
25233702813143 = 126168514065722 - 126168514065712 = 11469864915122 - 11469864915012 = 1520102579522 - 1520102578692 = 138191148122 - 138191138992 = 1032251282 - 1031028292 = 559424882 - 557164992 = 100511882 - 87058992 = 63183482 - 38324692 is the difference of 2 nonnegative squares in 8 ways.
25233702813143 is the difference of 2 positive pentagonal numbers in 7 ways.
25233702813143 is not the sum of 3 positive squares.
252337028131432 = 172736452889002 + 183945898593932 is the sum of 2 positive squares in 1 way.
252337028131432 is the sum of 3 positive squares.
25233702813143 is a divisor of 293818988940 - 1.
25233702813143 = '252337028131' + '43' is the concatenation of 2 prime numbers.
25233702813143 = '25233' + '702813143' is the concatenation of 2 sphenic numbers.