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56525040 = 24345111361
BaseRepresentation
bin1101011110100…
…0000011110000
310221100202210000
43113220003300
5103432300130
65335310000
71254312015
oct327500360
9127322700
1056525040
11299a8110
1216b1b300
13b931390
14771570c
154e68260
hex35e80f0

56525040 has 400 divisors, whose sum is σ = 234422496. Its totient is φ = 12441600.

The previous prime is 56525039. The next prime is 56525041. The reversal of 56525040 is 4052565.

56525040 is a `hidden beast` number, since 5 + 652 + 5 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56525039) and next prime (56525041).

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

It is a junction number, because it is equal to n+sod(n) for n = 56524995 and 56525013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56525041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 926610 + ... + 926670.

Almost surely, 256525040 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 56525040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117211248).

56525040 is an abundant number, since it is smaller than the sum of its proper divisors (177897456).

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

56525040 is a wasteful number, since it uses less digits than its factorization.

56525040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 56525040 is about 7518.3136407043. The cubic root of 56525040 is about 383.7781922156.

The spelling of 56525040 in words is "fifty-six million, five hundred twenty-five thousand, forty".