Saturday, May 25, 2019

Number of the day: 24682

Properties of the number 24682:

24682 = 2 × 7 × 41 × 43 is the 21949th composite number and is squarefree.
24682 has 4 distinct prime factors, 16 divisors, 17 antidivisors and 10080 totatives.
24682 has a semiprime digit sum 22 in base 10.
Reversing the decimal digits of 24682 results in a semiprime.
24682 is the sum of 2 positive triangular numbers.
24682 is the difference of 2 positive pentagonal numbers in 5 ways.
24682 = 242 + 652 + 1412 is the sum of 3 positive squares.
246822 = 54182 + 240802 is the sum of 2 positive squares in 1 way.
246822 is the sum of 3 positive squares.
24682 is a proper divisor of 17212 - 1.
24682 is palindromic in (at least) the following bases: 48, 62, and -9.
24682 in base 18 = 4434 and consists of only the digits '3' and '4'.
24682 in base 48 = AYA and consists of only the digits 'A' and 'Y'.
24682 in base 55 = 88g and consists of only the digits '8' and 'g'.
24682 in base 61 = 6cc and consists of only the digits '6' and 'c'.
24682 in base 62 = 6Q6 and consists of only the digits '6' and 'Q'.

The number 24682 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A000970: Fermat coefficients.
A008646: Molien series for cyclic group of order 5.
A051170: T(n,5), array T as in A051168; a count of Lyndon words; aperiodic necklaces with 5 black beads and n-5 white beads.
A065345: a(n) = Mod( binomial(2*n,n), (n+1)*(n+2)*(n+3) ).
A157363: 686n - 14.
A234042: a(n) = C(n+4,4)*gcd(n,5)/5.
A234513: 8*binomial(9*n+8,n)/(9*n+8).
A241546: Number of partitions p of n such that (number of numbers of the form 3k in p) is a part of p.
A259110: 2*A000447(n).
A263226: a(n) = 15*n^2 - 13*n.

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