Properties of the Number 50849

Fifty Thousand Eight Hundred Forty-Nine

Basics

Value: 50848 → 50849 → 50850

Parity: odd

Prime: Yes

Previous Prime: 50839

Next Prime: 50857

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 50849

Divisors: 1, 50849

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100011010100001

Octal: 143241

Duodecimal: 25515

Hexadecimal: c6a1

Square: 2585620801

Square Root: 225.49722836434154

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

Primes of the form ((p+1)/2)²+((p-1)/2), where p is prime. A163419

G.f. satisfies: A(x)² = x + A(x·A(x)⁵). A241997

Number of even-length strict integer partitions of 2n+1. A343942

Denominators of continued fraction convergents to sqrt(798). A42539

a(n) = -a(n-1) -a(n-2) -a(n-3) +a(n-4), a(0)=0, a(1)=1, a(2)=-1, a(3)=0. A100329

Smallest odd prime number Q such that Q·2^P+1 is also prime, where P is a Mersenne prime exponent A000043(n). A249384

Number of strict odd-length integer partitions of 2n + 1. A346634

Primes of form n⁴ + n² - 1. A174819

a(1) = 1. For n > 1, a(n) is the least odd prime p which cannot be represented as the sum of a subset of the previous terms. A379045

Numbers k such that 195·2^k-1 is prime. A50849