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56496 = 24311107
BaseRepresentation
bin1101110010110000
32212111110
431302300
53301441
61113320
7323466
oct156260
985443
1056496
11394a0
1228840
131c93b
1416836
1511b16
hexdcb0

56496 has 40 divisors (see below), whose sum is σ = 160704. Its totient is φ = 16960.

The previous prime is 56489. The next prime is 56501. The reversal of 56496 is 69465.

56496 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 9 and base 16.

It is an unprimeable number.

56496 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 7 ways as a sum of consecutive naturals, for example, 475 + ... + 581.

256496 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 56496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80352).

56496 is an abundant number, since it is smaller than the sum of its proper divisors (104208).

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

56496 is a wasteful number, since it uses less digits than its factorization.

56496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 123 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

The square root of 56496 is about 237.6888722679. The cubic root of 56496 is about 38.3712458352.

The spelling of 56496 in words is "fifty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 107 132 176 214 264 321 428 528 642 856 1177 1284 1712 2354 2568 3531 4708 5136 7062 9416 14124 18832 28248 56496