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56064 = 28373
BaseRepresentation
bin1101101100000000
32211220110
431230000
53243224
61111320
7322311
oct155400
984813
1056064
1139138
1228540
131c698
1416608
1511929
hexdb00

56064 has 36 divisors (see below), whose sum is σ = 151256. Its totient is φ = 18432.

The previous prime is 56053. The next prime is 56081. The reversal of 56064 is 46065.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 56064.

It is a congruent number.

It is an unprimeable number.

56064 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 3 ways as a sum of consecutive naturals, for example, 732 + ... + 804.

256064 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 56064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75628).

56064 is an abundant number, since it is smaller than the sum of its proper divisors (95192).

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

56064 is an equidigital number, since it uses as much as digits as its factorization.

56064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 56064 is about 236.7783773912. The cubic root of 56064 is about 38.2731928205.

Subtracting from 56064 its reverse (46065), we obtain a palindrome (9999).

The spelling of 56064 in words is "fifty-six thousand, sixty-four", and thus it is an eban number.