Properties of the Number 49937

Forty-Nine Thousand Nine Hundred Thirty-Seven

Basics

Value: 49936 → 49937 → 49938

Parity: odd

Prime: Yes

Previous Prime: 49927

Next Prime: 49939

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 49937

Divisors: 1, 49937

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1100001100010001

Octal: 141421

Duodecimal: 24A95

Hexadecimal: c311

Square: 2493703969

Square Root: 223.46588106464932

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

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock summing to 2 4 or 6. A251335

Primes p such that p = q² + 8·r² where q and r are also primes. A260556

Triangle T(n,k) of elements of n-th Weyl group of type B whose reduced word uses n-k generators. A109281

Primes p such that p+2, p*(p+2)+18 and p*(p+2)+20 are also prime. A130737

G.f.: 1/(1 - x²/(1 - x⁵/(1 - x⁸/(1 - x¹¹/(1 - x¹⁴/(1 - x¹⁷/(1 -...- x^3·n-1/(1 -...)))))))), a continued fraction. A206738

Numerators of the partial alternating sums of the reciprocals of the sum of divisors function (A000203). A357845

Primes p such that 2·p +/- 3 and 8·p +/- 3 are all primes. A106022

Primes p such that (p reversed)-10 is a square. A167475

Primes of the form 8n² + 9. A201705

Number of (n+1) X (2+1) 0..2 arrays with every 2 X 2 subblock summing to 2 4 or 6. A251329