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56376 = 233529
BaseRepresentation
bin1101110000111000
32212100000
431300320
53301001
61113000
7323235
oct156070
985300
1056376
11393a1
1228760
131c878
141678c
1511a86
hexdc38

56376 has 48 divisors (see below), whose sum is σ = 163800. Its totient is φ = 18144.

The previous prime is 56369. The next prime is 56377. The reversal of 56376 is 67365.

56376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 14.

It is a nialpdrome in base 9.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 56376.

It is not an unprimeable number, because it can be changed into a prime (56377) by changing a digit.

56376 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1930 + ... + 1958.

256376 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 56376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81900).

56376 is an abundant number, since it is smaller than the sum of its proper divisors (107424).

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

56376 is a wasteful number, since it uses less digits than its factorization.

56376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 34 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 56376 is about 237.4363072489. The cubic root of 56376 is about 38.3440591704.

The spelling of 56376 in words is "fifty-six thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 81 87 108 116 162 174 216 232 243 261 324 348 486 522 648 696 783 972 1044 1566 1944 2088 2349 3132 4698 6264 7047 9396 14094 18792 28188 56376