56000

56000 is a natural number that follows 55999 and precedes 56001. It equals fifty‑six thousand and can be expressed in various numerical bases: in binary 11011010111100100, in octal 167400, and in hexadecimal 0xDB40. The prime factorization of 56000 is 2^4 × 5^2 × 7, indicating the number is divisible by 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 98, 112, and so forth. It is an even number, a multiple of 10, and its last two digits, 00, mean it is also a multiple of 100. The sum of its digits equals 5+6+0+0+0=11, which is not divisible by 3, so 56000 is not divisible by 3.

In scientific notation, 56000 can be written as 5.6 × 10^4. Its logarithm in base 10 is log10(56000) ≈ 4.7482, and in natural logs it is ln(56000) ≈ 10.933. Statistically, 56000 falls between the 50th and 60th percentiles of many normal distributions centered around 55,000.

Because of its divisibility properties, 56000 is sometimes used as a benchmark or threshold in engineering, economics, and computing contexts where multiples of 10^4 are convenient. For example, in computer memory addressing, 56,000 kilobytes would equal approximately 54.7 megabytes. The number 56000 itself does not typically represent a named concept, but its mathematical characteristics make it a useful example in teaching number theory and base‑change conversions.