Properties of the Number 36052

Thirty-Six Thousand Fifty-Two

Basics

Value: 36051 → 36052 → 36053

Parity: even

Prime: No

Previous Prime: 36037

Next Prime: 36061

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 9013

Divisors: 1, 2, 4, 9013, 18026, 36052

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000110011010100

Octal: 106324

Duodecimal: 18A44

Hexadecimal: 8cd4

Square: 1299746704

Square Root: 189.87364219396014

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 that are the sum of seven fourth powers in eight or more ways. A345574

Numbers that are the sum of seven fourth powers in nine or more ways. A345575

Numbers that are the sum of seven fourth powers in exactly nine ways. A345831

Number of lines through exactly 2 points of an n X n grid of points. A18809

Solution of the complementary equation a(n) = 2·a(n-1) + a(n-2) - b(n), where a(0) = 3, a(1) = 5, b(0) = 1, b(1) = 2, b(2) = 4, and (a(n)) and (b(n)) are increasing complementary sequences. A297011

Number of partitions of the (n+10)-multiset {0,...,0,1,2,...,n} with ten 0's into distinct multisets. A346820

Number of partitions of the (n+5)-multiset {0,...,0,1,2,...,5} with n 0's into distinct multisets. A346825

G.f.: ∑_n>=1 ∑_k=0..n binomial(n,k) * x^k² * (xⁿ - x^k)^n-k, ignoring the constant term. A292808

Numbers k such that 447·2^k+1 is prime. A323193

Product of the lengths of the cycle types of the permutation created by length sorting on the partitions of n. A36052