88592

88592 is a natural number in the decimal system. It is even and composite, with a prime factorization of 2^4 × 7^2 × 113. From this factorization there are 30 positive divisors in total, since the number of divisors is (4+1) × (2+1) × (1+1).

As a consequence of its divisors, 88592 is an abundant number: the sum of its proper divisors is 112,846, which exceeds 88,592 by 24,254. It is divisible by 16 but not by 32, reflecting the 2^4 factor in its prime decomposition. The number is also a multiple of 2, 4, 8, and 16, and its odd prime factors are 7 and 113.

In common representations, 88592 is written as 88592 in decimal and 0x15A10 in hexadecimal. The hexadecimal form confirms divisibility by 16, since the least significant hex digit is 0.

Context and occurrences: as a five-digit positive integer, 88592 is an example frequently cited in number theory discussions of composite, even, and abundant numbers. Its specific factorization into 2, 7, and 113 highlights how repeated small primes can combine with larger primes to yield a relatively large set of divisors and an abundance value. Beyond pure mathematics, 88592 may appear in algorithms, coding examples, or dataset identifiers where a concrete numeric test case is useful.