Properties of the Number 53138

Fifty-Three Thousand One Hundred Thirty-Eight

Basics

Value: 53137 → 53138 → 53139

Parity: even

Prime: No

Previous Prime: 53129

Next Prime: 53147

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 × 163 ²

Divisors: 1, 2, 163, 326, 26569, 53138

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100111110010010

Octal: 147622

Duodecimal: 26902

Hexadecimal: cf92

Square: 2823647044

Square Root: 230.5168106668145

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 partitions of n in which the number of parts divides n. A67538

a(0) = 1; for n > 0, a(n) = 41·n² + 2. A206399

a(n) = 2·prime(n)². A79704

2·p², for p an odd prime. A143928

Number of partitions of 5n such that cn(1,5) = cn(4,5) = cn(2,5) = cn(3,5) < cn(0,5). A202086

Partial sums of floor(3ⁿ/5). A178706

Numbers k such that A206369(k) is prime. A383649

Where records occur in A070138. A298942

Binomial coefficients C(2·n+9,9). A53138