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56188032 = 273146323
BaseRepresentation
bin1101011001010…
…1110010000000
310220201122111020
43112111302000
5103341004112
65324145440
71251406335
oct326256200
9126648436
1056188032
112979799a
1216998280
13b843b74
14766898c
154ded48c
hex3595c80

56188032 has 32 divisors (see below), whose sum is σ = 149250480. Its totient is φ = 18729216.

The previous prime is 56188031. The next prime is 56188079. The reversal of 56188032 is 23088165.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 56187984 and 56188002.

It is not an unprimeable number, because it can be changed into a prime (56188031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 72778 + ... + 73545.

Almost surely, 256188032 is an apocalyptic number.

It is an amenable number.

56188032 is an abundant number, since it is smaller than the sum of its proper divisors (93062448).

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

56188032 is a wasteful number, since it uses less digits than its factorization.

56188032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146340 (or 146328 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 56188032 is about 7495.8676615853. The cubic root of 56188032 is about 383.0139632737.

The spelling of 56188032 in words is "fifty-six million, one hundred eighty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 146323 292646 438969 585292 877938 1170584 1755876 2341168 3511752 4682336 7023504 9364672 14047008 18729344 28094016 56188032