44640

44640 is a positive integer. In decimal form it is written as 44640, and it sits between 44639 and 44641. The prime factorization is 2^5 × 3^2 × 5 × 31, which shows that the number is even and composite.

Because of its factorization, 44640 has 72 positive divisors. The sum of all divisors, including itself, is 157,248, so the sum of proper divisors is 112,608. Since the sum of proper divisors exceeds the number itself, 44640 is an abundant number (abundance about 2.52).

In terms of divisibility, 44640 is divisible by 2, 3, 5, and 9, among other divisors. It is also a multiple of 32 and 288 (since 288 = 2^5 × 3^2 and the factorization includes 2^5 × 3^2), reflecting its small-prime composition.

Representations of 44640 in other bases include binary 1010111001100000, hexadecimal AE60, and octal 127140.

Notes of interest: 44640’s structure arises from its combination of small prime powers, which influences divisor-counting properties and abundance. The number serves as a concrete example of a highly composite-like factor pattern without being one of the classical highly composite numbers. In arithmetic contexts, it illustrates how a number’s factorization governs its divisors, sums, and base representations.