Properties of the Number 51836

Fifty-One Thousand Eight Hundred Thirty-Six

Basics

Value: 51835 → 51836 → 51837

Parity: even

Prime: No

Previous Prime: 51829

Next Prime: 51839

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 12959

Divisors: 1, 2, 4, 12959, 25918, 51836

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

5184 Try Today's Challenge

Representations

Binary: 1100101001111100

Octal: 145174

Duodecimal: 25BB8

Hexadecimal: ca7c

Square: 2686970896

Square Root: 227.67520725805872

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

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

G.f. = b(2)²*b(4)/(x⁵+x⁴-x³-x²-x+1), where b(k) = (1-x^k)/(1-x). A266339

Number of partitions of n with up to nine distinct kinds of 1. A320696

Numbers k whose nearest neighbors have the same number of divisors, the same number of distinct prime factors, and the same sum of divisors. A294173

a(n) is the numerator of the coefficient c_2n+1 in the expansion ∑_k=1..j 1/(k*(k+1)/2)² = ∑_m>=0 c_m/j^m for large values of j. A340277

a(n) = n*(n+1)*(n+2)*(n+3)*(3·n+2)/120. A51836

Smallest number m such that (n+1)*10^m-1 (i.e., n with m nines appended) yields a prime, or -1 if this will always yield a composite number. A90465

Number of (n+1)X(2+1) 0..2 arrays colored with the sum of the upper and lower median values of each 2X2 subblock. A236350