Properties of the Number 448

Four Hundred Forty-Eight

Basics

Value: 447 → 448 → 449

Parity: even

Prime: No

Previous Prime: 443

Next Prime: 449

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ⁶ × 7

Divisors: 1, 2, 4, 7, 8, 14, 16, 28, 32, 56

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111000000

Octal: 700

Duodecimal: 314

Hexadecimal: 1c0

Square: 200704

Square Root: 21.166010488516726

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

Expansion of ∏_{m >= 1} (1 + x^m); number of partitions of n into distinct parts; number of partitions of n into odd parts. A9

a(n) = n·2^n-1. A1787

Number of ways of writing n as a sum of 4 squares; also θ series of four-dimensional cubic lattice Z⁴. A118

Refactorable numbers: number of divisors of k divides k. Also known as τ numbers. A33950

Number of partitions of n into parts 5k+2 or 5k+3. A3106

a(n) = n·d(n), where d(n) = number of divisors of n (A000005). A38040

Triangle whose (i,j)-th entry is binomial(i,j)*2^i-j. A38207

Numbers of the form 2ⁱ - 2^j with i >= j. A23758

Increasing sequence generated by these rules: a(1)=1, and if·is in a then 3x-2 and 4x-2 are in a. A191113

Number of triangular polyominoes (or triangular polyforms, or polyiamonds) with n cells (turning over is allowed, holes are allowed, must be connected along edges). A577