Properties of the Number 45164

Forty-Five Thousand One Hundred Sixty-Four

Basics

Value: 45163 → 45164 → 45165

Parity: even

Prime: No

Previous Prime: 45161

Next Prime: 45179

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 7 × 1613

Divisors: 1, 2, 4, 7, 14, 28, 1613, 3226, 6452, 11291

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011000001101100

Octal: 130154

Duodecimal: 22178

Hexadecimal: b06c

Square: 2039786896

Square Root: 212.51823451177077

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 with no even part repeated; partitions of n in which no parts are multiples of 4. A1935

Triangle read by rows: T(n,k) = number of closed meander systems of order n with k<=n components. A8828

Number of partitions of 2n+1 in which no parts are multiples of 4. A81056

Number of closed meanders with 2 components and 2n bridges. A6657

Intersection of A108027, A108028, A108029 and A108030. A108109

Expansion of φ(-x³) * ψ(-x³) / φ(-x)² in powers of·where φ(), ψ() are Ramanujan θ functions. A260546

Number of nX3 0..1 arrays with every element equal to 0, 1, 3, 4 or 5 king-move adjacent elements, with upper left element zero. A298225

Numbers whose base-5 representation contains exactly one 0 and three 1's. A45164