Properties of the Number 54040

Fifty-Four Thousand Forty

Basics

Value: 54039 → 54040 → 54041

Parity: even

Prime: No

Previous Prime: 54037

Next Prime: 54049

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ³ × 5 × 7 × 193

Divisors: 1, 2, 4, 5, 7, 8, 10, 14, 20, 28

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1101001100011000

Octal: 151430

Duodecimal: 27334

Hexadecimal: d318

Square: 2920321600

Square Root: 232.46505113672464

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 (n+4)X(k+4) binary arrays with every 5X5 subblock commuting with each horizontal and vertical neighbor 5X5 subblock. A186609

Nonunitary weird numbers: numbers that are nonunitary abundant but not nonunitary pseudoperfect. A327948

Sum of all parts > 1 of all partitions of n. A194552

Consider all integer triples (i,j,k), j >= k > 0, with binomial(i+2,3)=j³+k³, ordered by increasing i; sequence gives j values. A54206

a(n) = 40*(200·n - 49). A157652

Number of distinct sums i³ + j³ + k³ + l³ for 1<=i<=j<=k<=l<=n. A374714

Triangle read by rows: T(n,k) is the number of forests of labeled rooted Greg hypertrees with n white vertices and k black vertices, 0 <= k < n. A370949

Number of (n+4)X8 binary arrays with every 5X5 subblock commuting with each horizontal and vertical neighbor 5X5 subblock. A186604

Number of (n+4)X9 binary arrays with every 5X5 subblock commuting with each horizontal and vertical neighbor 5X5 subblock. A186605

G.f. satisfies A(x) = 1 + x⁴ + x·A(x)⁴. A366677