Properties of the Number 49637

Forty-Nine Thousand Six Hundred Thirty-Seven

Basics

Value: 49636 → 49637 → 49638

Parity: odd

Prime: No

Previous Prime: 49633

Next Prime: 49639

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 7 ² × 1013

Divisors: 1, 7, 49, 1013, 7091, 49637

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100000111100101

Octal: 140745

Duodecimal: 24885

Hexadecimal: c1e5

Square: 2463831769

Square Root: 222.79362647975367

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

Numbers n such that P(13·n) is prime, where P(n) is the unrestricted partition number. A113518

First component A of the pairs (A, B), listed in increasing order, such that the multiset of digits of A union the multiset of digits of B equals the multiset of digits of A² and the multiset of digits of B², for some B >= A. Note that terms may be repeated. A389379

Number of partitions satisfying cn(0,5) + cn(2,5) <= cn(1,5) + cn(4,5) and cn(0,5) + cn(3,5) <= cn(1,5) + cn(4,5). A39887

The sequence S(n,-3,1,1), where S(n,k,t,q) is defined by ∑_j=0..n binomial(n+q,j)^t * B(j,k) and B(j,k) is the j-th k-poly-Bernoulli number. A68518

Congruent to 2, 3, 6, 8, 10 or 12 mod 13, but not equal to 3. A49637