Properties of the Number 49037

Forty-Nine Thousand Thirty-Seven

Basics

Value: 49036 → 49037 → 49038

Parity: odd

Prime: Yes

Previous Prime: 49033

Next Prime: 49043

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 49037

Divisors: 1, 49037

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011111110001101

Octal: 137615

Duodecimal: 24465

Hexadecimal: bf8d

Square: 2404627369

Square Root: 221.44299492194375

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 length n+1 0..k arrays with the sum of adjacent differences multiplied by some arrangement of +-1 equal to zero. A250167

Prime number spiral (clockwise, Northwest spoke). A53999

Number of partitions of n into 10 distinct and relatively prime parts. A341914

Prime(p²) where p = prime(n). A96327

Sum of the squares of the larger parts of the partitions of 2n into two squarefree parts. A280322

a(1) = 2, a(2) = 3 and a(n) = the smallest prime which is a linear combination of a(n-1) and a(n-2) of the form r·a(n-1) + s·a(n-2) with r,s >=1. A72535

Primes in A343812. A343814

Number of length n+1 0..6 arrays with the sum of adjacent differences multiplied by some arrangement of +-1 equal to zero. A250165

Number of length 5+1 0..n arrays with the sum of adjacent differences multiplied by some arrangement of +-1 equal to zero. A250170

a(n) = a(n-1) + 3·a(n-2) -2·a(n-3) - 2·a(n-4), where a(0) = 0, a(1) = -1, a(2) = 0, a(3) = 1. A295735