Properties of the Number 49820

Forty-Nine Thousand Eight Hundred Twenty

Basics

Value: 49819 → 49820 → 49821

Parity: even

Prime: No

Previous Prime: 49811

Next Prime: 49823

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 5 × 47 × 53

Divisors: 1, 2, 4, 5, 10, 20, 47, 53, 94, 106

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100001010011100

Octal: 141234

Duodecimal: 249B8

Hexadecimal: c29c

Square: 2482032400

Square Root: 223.20394261750843

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

Expansion of ∏_m>=1 (1-m·q^m)^-10. A22734

Expansion of (1 - x)^-2 * ∑_j>=0 (x^j / (1 - ∑_k=1..j x^k)). A369115

Irregular triangle read by rows: T(n,k) is the number of chordless cycles of length k in the n-diagonal intersection graph, 4 <= k <= kmax. A371340

a(n) is the number of binary strings of length n which contain exactly one run of 1s of even length. A384497

Consecutive states of the linear congruential pseudo-random number generator (2661·s + 36979) mod 175000 when started at s=1. A385361

Number of permutations (p(1),p(2),...,p(n)) of (1,2,...,n) such that p(i)-i is in {-2,0,5} for all i=1,...,n. A387020

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (0, 0, -1), (0, 1, 1), (1, 0, 1), (1, 1, -1)}. A150729

a(n) = n - d(n), where d(n) is the number of divisors of n (A000005). A49820