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56018880 = 2632553367
BaseRepresentation
bin1101010110110…
…0011111000000
310220102001110100
43111230133000
5103320101010
65320402400
71250103231
oct325543700
9126361410
1056018880
11296918a5
1216916400
13b7b4b88
147623088
154db82c0
hex356c7c0

56018880 has 168 divisors, whose sum is σ = 196852032. Its totient is φ = 14616576.

The previous prime is 56018867. The next prime is 56018903. The reversal of 56018880 is 8881065.

56018880 is a `hidden beast` number, since 560 + 18 + 8 + 80 = 666.

56018880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×560188802 = 6276229832908800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152457 + ... + 152823.

Almost surely, 256018880 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 56018880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98426016).

56018880 is an abundant number, since it is smaller than the sum of its proper divisors (140833152).

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

56018880 is a wasteful number, since it uses less digits than its factorization.

56018880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 56018880 is about 7484.5761403035. The cubic root of 56018880 is about 382.6292271291.

The spelling of 56018880 in words is "fifty-six million, eighteen thousand, eight hundred eighty".