Properties of the Number 48413

Forty-Eight Thousand Four Hundred Thirteen

Basics

Value: 48412 → 48413 → 48414

Parity: odd

Prime: Yes

Previous Prime: 48409

Next Prime: 48437

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 48413

Divisors: 1, 48413

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011110100011101

Octal: 136435

Duodecimal: 24025

Hexadecimal: bd1d

Square: 2343818569

Square Root: 220.0295434708712

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 arising in A144730. A144731

Primes of the form k² + 13. A138375

Numerators of 6*((∑_k=1..n 1/binomial(2·k,k)) - 1/3), n >= 1. A130547

a(n) is the start of the first occurrence of exactly n consecutive zeroless primes (A038618). A384793

Centered 1729-gonal numbers. A130876

a(n) is the minimum positive integer m such that m·2^{n + 2} + 1 is a prime number which does not divide ((F(n + 2) - 1)^m - 1)/(F(n + 2) - 2), where F(n) is the n-th Fermat number (A000215). A308695

Smallest nontrivial extension of n-th square which is a prime. A30685

Primes of the form 20n²+8n+1. A154405

The number of permutations of length n sortable by 2 block transpositions. A228392

Primes whose consecutive digits differ by 1 or 2. A48413