Properties of the Number 45156

Forty-Five Thousand One Hundred Fifty-Six

Basics

Value: 45155 → 45156 → 45157

Parity: even

Prime: No

Previous Prime: 45139

Next Prime: 45161

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 53 × 71

Divisors: 1, 2, 3, 4, 6, 12, 53, 71, 106, 142

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1011000001100100

Octal: 130144

Duodecimal: 22170

Hexadecimal: b064

Square: 2039064336

Square Root: 212.49941176389171

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 nine or more ways. A345575

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

Number of disconnected or empty antichains of nonempty subsets of {1..n} (non-spanning edge-connectivity 0). A327354

Partial sums of A255745. A255766

Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = n! * ∑_{j=0..floor(n/2)} (-k/2)^j * (j+1)^n-j-1 / (j! * (n-2·j)!). A362394

First differences of A000043. A134458

Expansion of g.f. 1/(1-x-x²-x⁴-x⁵). A79976

Intersection of A002378 and A135013. A135014

Number of (n+2) X 9 binary arrays avoiding patterns 001 and 110 in rows, columns and nw-to-se diagonals. A202446

Oblong numbers the product of whose digits are positive oblong numbers. A285079