Number of the day: 44681

Properties of the number 44681:

44681 = 7 × 13 × 491 is a sphenic number and squarefree.
44681 has 3 distinct prime factors, 8 divisors, 11 antidivisors and 35280 totatives.
44681 has a prime digit sum 23 in base 10.
44681 = 22341² - 22340² = 3195² - 3188² = 1725² - 1712² = 291² - 200² is the difference of 2 nonnegative squares in 4 ways.
44681 is the difference of 2 positive pentagonal numbers in 3 ways.
44681 = 31² + 54² + 202² is the sum of 3 positive squares.
44681² = 17185² + 41244² is the sum of 2 positive squares in 1 way.
44681² is the sum of 3 positive squares.
44681 is a proper divisor of 983¹² - 1.
44681 = '4' + '4681' is the concatenation of 2 semiprime numbers.
44681 is palindromic in (at least) the following bases: -8, and -38.

The number 44681 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A016261: Expansion of 1/((1-x)*(1-9*x)*(1-10*x)).
A021404: Expansion of 1/((1-x)(1-3x)(1-4x)(1-12x)).
A156754: Numerator of Euler(n, 7/20).
A184322: Number of strings of numbers x(i=1..7) in 0..n with sum i^2*x(i)^3 equal to 49*n^3
A274037: Numbers k such that 3*10^k - 49 is prime.