2592

2592 is a positive integer that lies between 2591 and 2593. It is an even composite number with several notable arithmetic properties.

Prime factorization: 2592 = 2^5 × 3^4. This factorization implies it has (5+1)(4+1) = 30 positive divisors. It is divisible by many integers, including 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 54, 72, 81, and 144, among others.

Representations in other bases: In binary it is 101000100000; in hexadecimal it is 0xA20; in octal it is 5040. In Roman numerals it can be written as MMDXCII.

Mathematical relationships: 2592 = 2 × 6^4 = 2^5 × 3^4, reflecting its expression in powers of small primes. It can be written as 72 × 36, highlighting a factorization into a pair of arithmetic-friendly numbers.

As a number, 2592 may appear in problems as a sample value in divisibility, factorization, or base-conversion exercises. Beyond pure arithmetic, there is no widely recognized singular meaning or event associated with the number in historical records.

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