Properties of the Number 52116

Fifty-Two Thousand One Hundred Sixteen

Basics

Value: 52115 → 52116 → 52117

Parity: even

Prime: No

Previous Prime: 52103

Next Prime: 52121

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 43 × 101

Divisors: 1, 2, 3, 4, 6, 12, 43, 86, 101, 129

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1100101110010100

Octal: 145624

Duodecimal: 261B0

Hexadecimal: cb94

Square: 2716077456

Square Root: 228.28929015615253

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

Numerator of ratio (the denominator being (n-1)!² = A001044(n-1)) giving the probability that the last of n persons drawing names randomly from a set of names draws their own, given that each person previously has drawn in succession and did not keep their own name. (Probability of derangements when allocated / rejected sequentially.) A136300

a(n) = 102·2ⁿ - 108 (n>=1). A304830

Number of nonnegative integer pairs (i,j) with binomial(i+r,r) + binomial(j+r,r) <= binomial(n+r,r), r=3. A52116