Properties of the Number 49873

Forty-Nine Thousand Eight Hundred Seventy-Three

Basics

Value: 49872 → 49873 → 49874

Parity: odd

Prime: No

Previous Prime: 49871

Next Prime: 49877

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 53 × 941

Divisors: 1, 53, 941, 49873

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100001011010001

Octal: 141321

Duodecimal: 24A41

Hexadecimal: c2d1

Square: 2487316129

Square Root: 223.32263655975405

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

Numerator of sum(1/(φ(k)σ(k)),k=1..n), where φ(k) is the totient function and σ(k) is the sum of the divisors function. A104526

Numerator of [xⁿ] of the Taylor series log(arctan(x)/log(x+1)). A13570

The (1,4) entry in the matrix Mⁿ, where M is the 4 X 4 matrix [[0,-1,1,0],[0,0,-1,1],[1,1,1,0],[0,1,1,1]]. A122822

Number of partitions satisfying cn(0,5) <= cn(2,5) and cn(0,5) <= cn(3,5). A39838

Non-crossing, non-nesting, 7-colored set partitions. A225033

a(n) = Sum{a(k): k=0,1,2,...,n-4,n-2,n-1}; a(n-3) is not a summand; initial terms are 2,2,3. A49873