Properties of the Number 42400

Forty-Two Thousand Four Hundred

Basics

Value: 42399 → 42400 → 42401

Parity: even

Prime: No

Previous Prime: 42397

Next Prime: 42403

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 ⁵ × 5 ² × 53

Divisors: 1, 2, 4, 5, 8, 10, 16, 20, 25, 32

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010010110100000

Octal: 122640

Duodecimal: 20654

Hexadecimal: a5a0

Square: 1797760000

Square Root: 205.91260281974002

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+5 0..k arrays with no six consecutive terms having five times any element equal to the sum of the remaining five. A249530

Array read by antidiagonals: T(n,k) is the number of k-tuples of involutions on [n] that pairwise commute. A362824

Number of ordered pairs of involutions on [n] that commute. A362819

n written in fractional base 6/4. A24637

Number of length n+5 0..3 arrays with no six consecutive terms having five times any element equal to the sum of the remaining five. A249525

Number of length 3+5 0..n arrays with no six consecutive terms having five times any element equal to the sum of the remaining five. A249533

θ series of odd 8-dimensional 5-modular lattice O(5). A29719

∑_k=2..n min(k,n-k)*φ(k)*(n-k). A92274

Numerators of continued fraction convergents to sqrt(727). A42400

Number of inequivalent 7 X 7 matrices with entries from [n], where equivalence means permutations of rows or columns. A246108