38016

38016 is a positive integer. In number theory it is characterized by its prime factorization 2^7 × 3^3 × 11, which implies it has 64 positive divisors (since the number of divisors is (7+1) × (3+1) × (1+1) = 64). This factorization also shows that 38016 is divisible by every divisor of the form 2^a × 3^b × 11^c with 0 ≤ a ≤ 7, 0 ≤ b ≤ 3, and 0 ≤ c ≤ 1; in particular it is divisible by 2, 3, 9, 11, 18, 22, 33, 36, 48, 66, 72, 88, 99, 176, and many others.

The digital sum of 38016 is 3 + 8 + 0 + 1 + 6 = 18, giving a digital root of 9. This confirms divisibility by 9 (and hence by 3) as well as by 2, making it divisible by 18 and by other multiples combining these factors.

In common alternative bases, 38016 is represented as 0x9480 in hexadecimal, 0b1001010010000000 in binary, and 0o112200 in octal. These representations reflect the same prime factor structure in different numeral systems.

Overall, 38016 is a highly composite-looking integer in its range, notable for its factorization and for having a relatively large number of divisors for a value around four digits. It has no widely known constant or notable named usage beyond its mathematical properties.