Properties of the Number 48393

Forty-Eight Thousand Three Hundred Ninety-Three

Basics

Value: 48392 → 48393 → 48394

Parity: odd

Prime: No

Previous Prime: 48383

Next Prime: 48397

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 19 × 283

Divisors: 1, 3, 9, 19, 57, 171, 283, 849, 2547, 5377

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1011110100001001

Octal: 136411

Duodecimal: 24009

Hexadecimal: bd09

Square: 2341882449

Square Root: 219.9840903338239

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+4 0..k arrays with some pair in every consecutive five terms totalling exactly k. A246892

Numbers of the form a⁵ + b⁶, with integers a, b > 0. A303375

Numbers of the form 5^j + 8^k, for j and k >= 0. A226823

Number of length n+4 0..2 arrays with some pair in every consecutive five terms totalling exactly 2. A246886

Number of length 6+4 0..n arrays with some pair in every consecutive five terms totalling exactly n. A246898

a(n) = hypergeometric([-n - 1, 1 - n, -n], [1, 3], -1). A350265

Number of partitions of n into parts not of the form 17k, 17k+7 or 17k-7. Also number of partitions with at most 6 parts of size 1 and differences between parts at distance 7 are greater than 1. A35968

E.g.f. A(x) = 3 + Integral B(x)*C(x) dx such that C(x)² - A(x)² = 16 and B(x)² - A(x)² = 7. A323563

E.g.f. B(x) = 4 + Integral A(x)*C(x) dx such that C(x)² - B(x)² = 9 and B(x)² - A(x)² = 7. A323564

E.g.f. C(x) = 5 + Integral A(x)*B(x) dx such that C(x)² - A(x)² = 16 and C(x)² - B(x)² = 9. A323565