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56005872 = 2431389753
BaseRepresentation
bin1101010110100…
…1010011110000
310220101101121120
43111221103300
5103314141442
65320222240
71250020266
oct325512360
9126341546
1056005872
112968304a
121690a980
13b7abc90
14761c436
154db44ec
hex35694f0

56005872 has 40 divisors (see below), whose sum is σ = 155812944. Its totient is φ = 17232384.

The previous prime is 56005867. The next prime is 56005879. The reversal of 56005872 is 27850065.

It is a happy number.

56005872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56005879) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 44253 + ... + 45500.

Almost surely, 256005872 is an apocalyptic number.

56005872 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

56005872 is an abundant number, since it is smaller than the sum of its proper divisors (99807072).

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

56005872 is a wasteful number, since it uses less digits than its factorization.

56005872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89777 (or 89771 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 56005872 is about 7483.7071027666. The cubic root of 56005872 is about 382.5996083870.

The spelling of 56005872 in words is "fifty-six million, five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 89753 179506 269259 359012 538518 718024 1077036 1166789 1436048 2154072 2333578 3500367 4308144 4667156 7000734 9334312 14001468 18668624 28002936 56005872