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56327040 = 27325711127
BaseRepresentation
bin1101011011011…
…1101110000000
310220222201011200
43112313232000
5103404431130
65331141200
71252525530
oct326675600
9126881150
1056327040
1129882380
1216a44800
13b892213
1476a34c0
154e29760
hex35b7b80

56327040 has 384 divisors, whose sum is σ = 244408320. Its totient is φ = 11612160.

The previous prime is 56327003. The next prime is 56327057. The reversal of 56327040 is 4072365.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 56326995 and 56327013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 443457 + ... + 443583.

It is an arithmetic number, because the mean of its divisors is an integer number (636480).

Almost surely, 256327040 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 56327040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122204160).

56327040 is an abundant number, since it is smaller than the sum of its proper divisors (188081280).

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

56327040 is a wasteful number, since it uses less digits than its factorization.

56327040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 56327040 is about 7505.1342426368. The cubic root of 56327040 is about 383.3295592991.

The spelling of 56327040 in words is "fifty-six million, three hundred twenty-seven thousand, forty".