609472

609472 is a natural number. Its prime factorization is 2^6 × 89 × 107, which makes it an even and composite number. Because 89 and 107 appear to the first power, the number is not a perfect square or cube. It is divisible by 64 but not by 128.

The divisors of 609472 can be determined from its prime factorization. With exponents (6, 1, 1), it has (6+1)(1+1)(1+1) = 28 positive divisors. The sum of all divisors is (2^7−1)/(2−1) × (89^2−1)/(89−1) × (107^2−1)/(107−1) = 127 × 90 × 108 = 1,234,440. Proper divisors (all divisors except the number itself) sum to 624,968, so 609472 is not a perfect number.

In common base representations, 609472 equals 10010100110011000000 in binary, and 0x94CC0 in hexadecimal. In octal, it is 2246300_8.

Additional notes: 609472 is an even composite whose 2-adic valuation is 6 (it is divisible by 64 but not by 128). Its factorization into 2^6, 89, and 107 serves as a typical example in elementary number theory of a number composed of a high-power of two and distinct odd primes.