Properties of the Number 54400

Fifty-Four Thousand Four Hundred

Basics

Value: 54399 → 54400 → 54401

Parity: even

Prime: No

Previous Prime: 54377

Next Prime: 54401

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ⁷ × 5 ² × 17

Divisors: 1, 2, 4, 5, 8, 10, 16, 17, 20, 25

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101010010000000

Octal: 152200

Duodecimal: 27594

Hexadecimal: d480

Square: 2959360000

Square Root: 233.23807579381202

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

Number of ways to place 3 nonattacking queens on an n X n board. A47659

Number T(n,k) of ways to place k nonattacking queens on an n X n board; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A348129

Triangle read by rows, T(n, k) = 4^k*S₄(n, k) where S_m(n, k) are the Stirling-Frobenius subset numbers of order m; n >= 0, k >= 0. A225467

Numbers with prime factorization pq^2r^7. A190466

Glaisher's function G(n) (18 squares version). A2609

Larger member of primitive friendly pairs ordered by smallest maximal element. A233039

E.g.f. satisfies: A'(x) = A(x)²/A(-x)², with A(0)=1. A235166

a(n) = (a(n-1) - a(n-2)) * a(n-1) / a(n-3) with a(0) = 2, a(1) = 1, a(2) = -1. A243005

a(n) = 34·n². A303302

Triangle read by rows: T(n,k) is number of leaves at level k in all noncrossing rooted trees on n+1 nodes. A101372