Properties of the Number 45936

Forty-Five Thousand Nine Hundred Thirty-Six

Basics

Value: 45935 → 45936 → 45937

Parity: even

Prime: No

Previous Prime: 45893

Next Prime: 45943

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ⁴ × 3 ² × 11 × 29

Divisors: 1, 2, 3, 4, 6, 8, 9, 11, 12, 16

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011001101110000

Octal: 131560

Duodecimal: 22700

Hexadecimal: b370

Square: 2110116096

Square Root: 214.32685319390103

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 regular simple graphs on n labeled nodes. A295193

a(n) = nⁿ - n!. A36679

Triangle read by rows: T(n,k) = number of functions from an n-element set into but not onto a k-element set. A101030

Expansion of f(q) * f(q⁵) / φ(-q²)² in powers of q where f(), φ() are Ramanujan θ functions. A145722

a(n) = n! - n⁶. A196413

Number of binary sequences of length n containing exactly one subsequence 0101. A118871

p-INVERT of (1,0,0,1,0,0,1,0,0,...), where p(S) = (1 - 2 S)². A291038

a(n) = 4*(n+1)*(9·n+4). A304505

a(n) = 10·binomial(n,5) + 4·binomial(n,3) + n. A383797

Least m>0 for which m + n² is a square and m + triangular(n) is a triangular number (A000217). A267140