Properties of the Number 5378

Five Thousand Three Hundred Seventy-Eight

Basics

Value: 5377 → 5378 → 5379

Parity: even

Prime: No

Previous Prime: 5351

Next Prime: 5381

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 × 2689

Divisors: 1, 2, 2689, 5378

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010100000010

Octal: 12402

Duodecimal: 3142

Hexadecimal: 1502

Square: 28922884

Square Root: 73.33484846919642

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

Expansion of ∑_n>=1 ( (1 + xⁿ)ⁿ - 1 ). A318636

Numbers k such that the square of k is the concatenation of two numbers m and m-8. A115446

Numbers whose least quadratic nonresidue (A020649) is 13. A25025

Numbers k that divide the sum of digits of 13^k. A175525

Numbers that are the sum of eight fourth powers in four or more ways. A345579

Numbers that are the sum of eight fourth powers in exactly four ways. A345836

T(n,k)=Number of nXk 0..2 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal, vertical or antidiagonal neighbor, with new values introduced in row major 0..2 order. A222649

a(n) = 3·n² - 4·n + 3. A141631

Number of integer partitions of n not containing more ones than any other part. A381544

First differences of A087235. A87240