Properties of the Number 49100

Forty-Nine Thousand One Hundred

Basics

Value: 49099 → 49100 → 49101

Parity: even

Prime: No

Previous Prime: 49081

Next Prime: 49103

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 5 ² × 491

Divisors: 1, 2, 4, 5, 10, 20, 25, 50, 100, 491

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1011111111001100

Octal: 137714

Duodecimal: 244B8

Hexadecimal: bfcc

Square: 2410810000

Square Root: 221.5851980616034

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 3 X n matrices containing a permutation of 1..3·n in increasing order rowwise, columnwise and (downwards) antidiagonally. A181197

Number A(n,k) of lattice paths from {n}^k to {0}^k using steps that decrement one component such that for each point (p₁,p₂,...,p_k) we have p₁<=p₂<=...<=p_k; square array A(n,k), n>=0, k>=0, read by antidiagonals. A227578

T(n,k) = number of n X k matrices containing a permutation of 1..n·k in increasing order rowwise, columnwise, diagonally and (downwards) antidiagonally. A181196

Number of partitions of n whose greatest part is a multiple of 3. A363045

The index of the record values in A369354. A369812

a(n) = n! mod Fibonacci(n). A182213

Square array A(n,k), n >= 1, k >= 0, read by antidiagonals: A(n,k) = ∑_d∣n d^{n/d + k}. A308502

Number of n X 7 matrices containing a permutation of 1..n·7 in increasing order rowwise, columnwise, diagonally and (downwards) antidiagonally. A181194

Number of lattice paths from {n}⁵ to {0}⁵ using steps that decrement one component such that for each point (p₁,p₂,...,p₅) we have p₁<=p₂<=...<=p₅. A227596

Expansion of ψ(x³)³ * ψ(x²) / ψ(x)⁴ in powers of·where ψ() is a Ramanujan θ function. A262158