Friday, March 22, 2019

Number of the day: 29092

Properties of the number 29092:

29092 = 22 × 7 × 1039 is the 25929th composite number and is not squarefree.
29092 has 3 distinct prime factors, 12 divisors, 19 antidivisors and 12456 totatives.
29092 has a semiprime digit sum 22 in base 10.
29092 = 72742 - 72722 = 10462 - 10322 is the difference of 2 nonnegative squares in 2 ways.
29092 is the difference of 2 positive pentagonal numbers in 2 ways.
29092 = 162 + 902 + 1442 is the sum of 3 positive squares.
290922 is the sum of 3 positive squares.
29092 is a proper divisor of 113173 - 1.
29092 = '2909' + '2' is the concatenation of 2 prime numbers.
29092 is a palindrome (in base 10).
29092 is palindromic in (at least) the following bases: 3, and -96.

The number 29092 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A006392: Number of planar maps with n edges and without faces of degree 1 or 2.
A007633: Palindromic in bases 3 and 10.
A100955: Consider all (2n+1)-digit palindromic primes of the form 30...0M0...03 (so that M is a palindrome with <= 2n-1 digits); a(n) = smallest such M.
A109759: Palindromic admirable numbers.
A129210: Largest number not the sum of n distinct nonzero squares.
A138131: Palindromic cyclops numbers.
A162571: Palindromes which are sums of two consecutive primes.
A177722: Number of line segments connecting exactly 6 points in an n x n grid of points
A190397: Number of ways to place 5 nonattacking grasshoppers on a chessboard of size n x n.
A289121: a(n) = (8 - 2*n + 11*n^2 - 6*n^3 + n^4)/4.

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