Properties of the Number 49910

Forty-Nine Thousand Nine Hundred Ten

Basics

Value: 49909 → 49910 → 49911

Parity: even

Prime: No

Previous Prime: 49891

Next Prime: 49919

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 × 5 × 7 × 23 × 31

Divisors: 1, 2, 5, 7, 10, 14, 23, 31, 35, 46

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100001011110110

Octal: 141366

Duodecimal: 24A72

Hexadecimal: c2f6

Square: 2491008100

Square Root: 223.40546098965442

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 solutions to 1 +- 2 +- 3 +- ... +- n = 0. A58377

Coefficients for step-by-step integration. A2400

Triangle read by rows: coefficients for predictor y(x₁) for step-by-step integration. A260780

Number of ways of partitioning the set {1...n} into two subsets whose sums are as nearly equal as possible. A69918

Number of terms in 5th derivative of a function composed with itself n times. A22815

Triangle read by rows in which row n gives coefficients of polynomial R_n(y) that satisfies R_n(1/2) = 8ⁿ, where R_n(y) forms the initial (n+1) terms of g.f. A097182(y)ⁿ⁺¹. A97181

Partial sums of A051865. A50441

Main diagonal of triangle A097181, in which the n-th row polynomial R_n(y) is formed from the initial (n+1) terms of g.f. A097182(y)ⁿ⁺¹, where R_n(1/2) = 8ⁿ for all n>=0. A97183

Number of ways of partitioning the integers {1,2,..,4n-1} into two unordered sets such that the sums of parts are equal in both sets (parts in one of the sets hence sum up to n*(4n-1)). Number of solutions to {1 +- 2 +- 3+ ... +- 4n-1 = 0}. A104456

a(n) = numerator of constant λ(n) involved in a recurrence for the Atkin polynomials A_k(j). A145226