Properties of the Number 48799

Forty-Eight Thousand Seven Hundred Ninety-Nine

Basics

Value: 48798 → 48799 → 48800

Parity: odd

Prime: Yes

Previous Prime: 48787

Next Prime: 48809

Digit Sum: 37

Digital Root: 1

Palindrome: No

Factorization: 48799

Divisors: 1, 48799

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011111010011111

Octal: 137237

Duodecimal: 242A7

Hexadecimal: be9f

Square: 2381342401

Square Root: 220.90495693849877

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 related to the strictly increasing subsequence of A053666. A230041

Nonsquare factors k > 0 such that k·x² - 1 produces a new minimum of its Hardy-Littlewood constant. A331948

Primes with digit sum = 37. A106771

Partition function coefficients for square lattice spin 2 Ising model. A10108

Second term p(m) of strong prime sextets: p(m)-p(m-1) > p(m+1)-p(m) > p(m+2)-p(m+1) > p(m+3)-p(m+2) > p(m+4)-p(m+3). A54814

Smallest number k such that the continued fraction expansion of sqrt(k) contains n distinct numbers. A187142

Numbers k such that 8^k + 9 is prime. A217382

Value of prime number D for incrementally largest values of minimal·satisfying the equation x² - D·y² = 2. A336786

Nonsquare values of m in the discriminant D = 4·m leading to a new maximum of the L-function of the Dirichlet series L(1) = ∑_k>0 Kronecker(D,k)/k. A3421

Smallest prime p == 7 mod 8 (A007521) and p > prime(n+2) such that p is a quadratic residue mod the first n odd primes 3, 5, 7, 11, ..., prime(n+1), and p is a quadratic non-residue mod prime(n+2). A96640