Properties of the Number 40053

Forty Thousand Fifty-Three

Basics

Value: 40052 → 40053 → 40054

Parity: odd

Prime: No

Previous Prime: 40039

Next Prime: 40063

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 13 ² × 79

Divisors: 1, 3, 13, 39, 79, 169, 237, 507, 1027, 3081

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001110001110101

Octal: 116165

Duodecimal: 1B219

Hexadecimal: 9c75

Square: 1604242809

Square Root: 200.1324561384285

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Numbers k such that 2^k + 9 is prime. A57196

Numbers k such that k² divides 22^k-1. A128402

Sums of wrecker ball sequences starting with n. A248961

Coefficient array of numerator polynomials of the ordinary generating functions for the alternating sums of powers for the numbers 1,2,...,2·n+1. A196848

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of B(x)^k, where B(x) is the g.f. of A162661. A384651

Numbers k that divide 7^k + 2^k. A45580

Numbers k that divide 7^k + 5^k. A45596

Integers i such that the equation A088387(i) = p has N > 1 solutions in the interval prevprime(i)..nextprime(i). A308617

Number of partitions of n into parts not of the form 19k, 19k+8 or 19k-8. Also number of partitions with at most 7 parts of size 1 and differences between parts at distance 8 are greater than 1. A35977

a(n) is 1 if and only if Ramanujan's τ(n) > 0. A40053