Properties of the Number 42150

Forty-Two Thousand One Hundred Fifty

Basics

Value: 42149 → 42150 → 42151

Parity: even

Prime: No

Previous Prime: 42139

Next Prime: 42157

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 5 ² × 281

Divisors: 1, 2, 3, 5, 6, 10, 15, 25, 30, 50

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010010010100110

Octal: 122246

Duodecimal: 20486

Hexadecimal: a4a6

Square: 1776622500

Square Root: 205.3046516764781

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 reversed integer partitions of 2n whose skew-alternating sum is 0. A357640

Third differences of fifth powers (A000584). A101096

Array T(n,k) counting words with n letters drawn from a k-letter alphabet with no letter appearing thrice in a 3-letter subword. A265584

E.g.f. A = A(x,y) satisfies: A² + B² + C² = 1 + y² and A³ + B³ + C³ = 1 + y³, where functions B = B(x,y) and C = C(x,y) are described by A278886 and A278887, respectively. A278885

a(n) is the index of the partition that contains the divisors of n in the list of colexicographically ordered partitions of the sum of the divisors of n. A299773

a(n) = 60·n² + 180·n + 150. A69477

Triangle read by rows: T(n,k) is the number of set partitions of {1,2,...,n} (or of any n-set) having k blocks of even size (0<=k<=floor(n/2)). A124322

Expansion of g.f.: (1+x+x²)/(1-5·x-5·x²). A123887

Records in A299773. A316916

a(n) = ∑_{k=0..floor(n/2)} binomial(n+k-1,k) * binomial(n+3·k-1,n-2·k). A387617