Properties of the Number 49836

Forty-Nine Thousand Eight Hundred Thirty-Six

Basics

Value: 49835 → 49836 → 49837

Parity: even

Prime: No

Previous Prime: 49831

Next Prime: 49843

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 4153

Divisors: 1, 2, 3, 4, 6, 12, 4153, 8306, 12459, 16612

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100001010101100

Octal: 141254

Duodecimal: 24A10

Hexadecimal: c2ac

Square: 2483626896

Square Root: 223.23978140107556

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 nonprimes (1 and composites) in the reduced residue system of n-th primorial number (A002110). A48863

Number of nonnegative solutions of a certain system of linear Diophantine equations depending on an odd parameter. A277388

G.f.: 1/(1-x) = ∑_n>=0 a(n) * xⁿ / ∏_k=1..2·n-1 (1 + k·x). A208830

Number of partitions p of n such that max(p) - 3·min(p) is a part of p. A238627

a(n) = ∑_{m=1..n, k=1..m} T(m,k), array T as in A049834. A49836