Properties of the Number 38475

Thirty-Eight Thousand Four Hundred Seventy-Five

Basics

Value: 38474 → 38475 → 38476

Parity: odd

Prime: No

Previous Prime: 38461

Next Prime: 38501

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ⁴ × 5 ² × 19

Divisors: 1, 3, 5, 9, 15, 19, 25, 27, 45, 57

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001011001001011

Octal: 113113

Duodecimal: 1A323

Hexadecimal: 964b

Square: 1480325625

Square Root: 196.1504524593303

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 of n in which the sequence of frequencies of the summands is nondecreasing. A100883

Expansion of ∏_k>=1 (1 - x^k)¹⁵. A10822

a(n) is the sum of a sequence of multiples of the n-th prime such that it contains each of the digits from 0 to 9 exactly once and with the least sum possible, or 0 if there is no satisfying sequence. A274328

Triangle T(n, k, q) = c(n-1, q)*c(n, q)/(c(k-1, q)²*c(n-k, q)*c(n-k+1, q)*f(k, q)), where c(n, q) = ∏_j=1..n f(j, q), f(n, q) = q*(f(n-1, q) + f(n-2, q)), f(0, q) = 0, f(1, q) = 1, and q = 3, read by rows. A172376

The odd edge of a primitive 3-simplex (0, b=A031173, c=A031174, d=A031175). A298047

a(n) = 225*(n-1)*(n-2)/2. A27470

Number of permutations satisfying -k <= p(i) - i <= r and p(i) - i not in I, i=1..n, with k=1, r=5, I={2,3}. A79960

Sums of 3 distinct powers of 5. A38475

G.f. satisfies: A(x) = 1 + x*∑_n>=0 (A(x)³ - 1)ⁿ. A192946