Number of the day: 49923

Properties of the number 49923:

49923 = 3³ × 43² is the 44797^th composite number and is not squarefree.
49923 has 2 distinct prime factors, 12 divisors, 23 antidivisors and 32508 totatives.
49923 = 24962² - 24961² = 8322² - 8319² = 2778² - 2769² = 938² - 911² = 602² - 559² = 258² - 129² is the difference of 2 nonnegative squares in 6 ways.
49923 is the sum of 2 positive triangular numbers.
49923 is the difference of 2 positive pentagonal numbers in 1 way.
49923 = 5² + 13² + 223² is the sum of 3 positive squares.
49923² is the sum of 3 positive squares.
49923 is a proper divisor of 19⁴² - 1.
49923 = '499' + '23' is the concatenation of 2 prime numbers.
49923 = '49' + '923' is the concatenation of 2 emirpimes.
49923 is palindromic in (at least) the following bases: -62, -68, and -71.
49923 in base 4 = 30030003 and consists of only the digits '0' and '3'.
49923 in base 39 = WW3 and consists of only the digits '3' and 'W'.
49923 in base 43 = R00 and consists of only the digits '0' and 'R'.
49923 in base 61 = DPP and consists of only the digits 'D' and 'P'.

The number 49923 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A036314: Composite numbers n such that digits of prime factors of n are either 3 or 4.
A100450: Number of ordered triples (i,j,k) with |i| + |j| + |k| <= n and gcd(i,j,k) <= 1.
A135488: Number of distinct self-dual normal bases for GF(2^n) over GF(2)
A160228: Write Pi-3 in binary and report the number of zeros in the first 10^n decimal places.
A163787: a(n) is the n-th J_7-prime (Josephus_7 prime).
A242381: Positive integers, c, such that there are more than two solutions to the equation a^2 + b^3 = c^4, with a, b > 0.
A242867: Discriminants of cubic domains for cubefree n.