Properties of the Number 27952

Twenty-Seven Thousand Nine Hundred Fifty-Two

Basics

Value: 27951 → 27952 → 27953

Parity: even

Prime: No

Previous Prime: 27947

Next Prime: 27953

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ⁴ × 1747

Divisors: 1, 2, 4, 8, 16, 1747, 3494, 6988, 13976, 27952

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110110100110000

Octal: 66460

Duodecimal: 14214

Hexadecimal: 6d30

Square: 781314304

Square Root: 167.18851635205093

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 partitions p of n such that (maximal multiplicity of the parts of p) >= (maximal part of p). A240313

Expansion of ∏_{i>=1, j>=0} (1 + x^{i·4^j}) / (1 - x^{i·4^j}). A393556

1000-gonal numbers: a(n) = n*(499·n - 498). A195163

Numbers n>1 such that the difference between log(n) and its best rational approximation as x/y with y<=n produces a new minimum of abs(log(n)-x/y). x/y is provided as A306976/A306977. A306975

Number of n X 3 arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..1 n X 3 array. A219349

Partial sums of the Dedekind psi₂(k) function, for 1 <= k <= n. A321973

a(n) = numerator of ∑_{k=2..A335138(n)} abs(A309229(n, k))/k. A335416

a(n) = T(2n,n+4), T given by A027948. A27952