Properties of the Number 49240

Forty-Nine Thousand Two Hundred Forty

Basics

Value: 49239 → 49240 → 49241

Parity: even

Prime: No

Previous Prime: 49223

Next Prime: 49253

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ³ × 5 × 1231

Divisors: 1, 2, 4, 5, 8, 10, 20, 40, 1231, 2462

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100000001011000

Octal: 140130

Duodecimal: 245B4

Hexadecimal: c058

Square: 2424577600

Square Root: 221.90087877248257

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

Ruth-Aaron numbers (2): sum of prime divisors of n = sum of prime divisors of n+1 (both taken with multiplicity). A39752

a(n) = 4·p(n), where p(n) is the number of partitions of n. A299474

Number of partitions of n into parts of exactly 3 sorts which are introduced in ascending order. A258458

Infinitary Ruth-Aaron numbers: numbers k such that A181894(k) = A181894(k+1). A330999

One-quarter of the number of regions in the central square of an equal-armed cross with arms of length n (as in A331456). A337641

Numbers k such that sopfr(k) = sopf(k+1), where sopf(k) = A008472(k) and sopfr(k) = A001414(k). A64675

Number of partitions of n times number of divisors of n. A141667

Number of (undirected) Hamiltonian paths in the n-dipyramidal graph. A307939

Smallest nonnegative value taken on by x² - n·y² for an infinite number of integer pairs (x, y). A49240

Table read by antidiagonals: T(n, k) is the sum of the numbers inside the k-th square of size n X n when the square spiral is tiled with these squares, where each tile contains numbers which sum to the minimum possible value, and each number on the spiral can only be in one tile. A341363