Monday, October 10, 2016

Number of the day: 56717

Properties of the number 56717:

56717 = 43 × 1319 is semiprime and squarefree.
56717 has 2 distinct prime factors, 4 divisors, 15 antidivisors and 55356 totatives.
56717 has an emirpimes digit sum 26 in base 10.
Reversing the decimal digits of 56717 results in a sphenic number.
56717 = 283592 - 283582 = 6812 - 6382 is the difference of 2 nonnegative squares in 2 ways.
56717 is the difference of 2 positive pentagonal numbers in 2 ways.
56717 = 32 + 82 + 2382 is the sum of 3 positive squares.
567172 is the sum of 3 positive squares.
56717 is a divisor of 431659 - 1.
56717 is an emirpimes in (at least) the following bases: 2, 3, 5, 6, 7, 8, 9, 20, 23, 26, 27, 29, 31, 35, 38, 39, 41, 44, 45, 49, 50, 51, 54, 55, 57, 58, 59, 61, 63, 65, 71, 76, 78, 79, 83, 86, 88, 89, 92, 95, and 98.
56717 is palindromic in (at least) the following bases: 64, -15, and -49.
56717 in base 16 = dd8d and consists of only the digits '8' and 'd'.
56717 in base 39 = bBB and consists of only the digits 'B' and 'b'.
56717 in base 48 = OTT and consists of only the digits 'O' and 'T'.

The number 56717 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A000690: Landau's approximation to population of x^2 + y^2.
A274974: Centered octahemioctahedral numbers: a(n) = (4*n^3+24*n^2+8*n+3)/3.

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