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56112 = 2437167
BaseRepresentation
bin1101101100110000
32211222020
431230300
53243422
61111440
7322410
oct155460
984866
1056112
1139181
1228580
131c704
1416640
151195c
hexdb30

56112 has 40 divisors (see below), whose sum is σ = 166656. Its totient is φ = 15936.

The previous prime is 56101. The next prime is 56113. The reversal of 56112 is 21165.

56112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 56091 and 56100.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 56112.

It is not an unprimeable number, because it can be changed into a prime (56113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 253 + ... + 419.

256112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83328).

56112 is an abundant number, since it is smaller than the sum of its proper divisors (110544).

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

56112 is a wasteful number, since it uses less digits than its factorization.

56112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 179 counting only the distinct ones).

The product of its digits is 60, while the sum is 15.

The square root of 56112 is about 236.8797163119. The cubic root of 56112 is about 38.2841124196.

Adding to 56112 its reverse (21165), we get a palindrome (77277).

The spelling of 56112 in words is "fifty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 167 168 334 336 501 668 1002 1169 1336 2004 2338 2672 3507 4008 4676 7014 8016 9352 14028 18704 28056 56112