Properties of the Number 49760

Forty-Nine Thousand Seven Hundred Sixty

Basics

Value: 49759 → 49760 → 49761

Parity: even

Prime: No

Previous Prime: 49757

Next Prime: 49783

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ⁵ × 5 × 311

Divisors: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100001001100000

Octal: 141140

Duodecimal: 24968

Hexadecimal: c260

Square: 2476057600

Square Root: 223.06949589757897

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

Indices of primes in the tetranacci sequence A000288. A247561

The number of edges inside a pentagram formed by the straight line segments mutually connecting all vertices and all points that divide the sides into n equal parts. A333118

G.f. for Ehrhart quasi-polynomials for hyperplane arrangements of type E₈. A210632

a(n) = 1·2*3·4*5·6*7·8*9·10 + 11·12·13·14·15·16·17·18·19·20 + 21·22·23·24·25·26·27·28·29·30 + ... + (up to n). A319212

a(n) = ∑_k=1..n T(n,k), array T as in A049759. A49760

Second-order reciprocal Stirling number (Fekete) a(n) = [[2n+4, n]]. The number of n-orbit permutations of a (2n+4)-set with at least 2 elements in each orbit. Also known as associated Stirling numbers of the first kind (e.g., Comtet). A1785