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56000 = 26537
BaseRepresentation
bin1101101011000000
32211211002
431223000
53243000
61111132
7322160
oct155300
984732
1056000
113908a
12284a8
131c649
14165a0
15118d5
hexdac0

56000 has 56 divisors (see below), whose sum is σ = 158496. Its totient is φ = 19200.

The previous prime is 55997. The next prime is 56003. The reversal of 56000 is 65.

It is an interprime number because it is at equal distance from previous prime (55997) and next prime (56003).

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (56003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7997 + ... + 8003.

256000 is an apocalyptic number.

56000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79248).

56000 is an abundant number, since it is smaller than the sum of its proper divisors (102496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56000 is an equidigital number, since it uses as much as digits as its factorization.

56000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 56000 is about 236.6431913240. The cubic root of 56000 is about 38.2586236554.

Adding to 56000 its reverse (65), we get a palindrome (56065).

The spelling of 56000 in words is "fifty-six thousand", and thus it is an eban number.

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 140 160 175 200 224 250 280 320 350 400 448 500 560 700 800 875 1000 1120 1400 1600 1750 2000 2240 2800 3500 4000 5600 7000 8000 11200 14000 28000 56000