Search a number
-
+
56880672 = 253592507
BaseRepresentation
bin1101100011111…
…0111000100000
310222000211121120
43120332320200
5104030140142
65351052240
71260322602
oct330767040
9128024546
1056880672
112a120322
1217071080
13ba27204
1477a9172
154ed87ec
hex363ee20

56880672 has 24 divisors (see below), whose sum is σ = 149312016. Its totient is φ = 18960192.

The previous prime is 56880671. The next prime is 56880673. The reversal of 56880672 is 27608865.

56880672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56880671) and next prime (56880673).

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (56880671) 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 3 ways as a sum of consecutive naturals, for example, 296158 + ... + 296349.

It is an arithmetic number, because the mean of its divisors is an integer number (6221334).

Almost surely, 256880672 is an apocalyptic number.

It is an amenable number.

56880672 is an abundant number, since it is smaller than the sum of its proper divisors (92431344).

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

56880672 is a wasteful number, since it uses less digits than its factorization.

56880672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592520 (or 592512 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 56880672 is about 7541.9276050622. The cubic root of 56880672 is about 384.5813676417.

The spelling of 56880672 in words is "fifty-six million, eight hundred eighty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 592507 1185014 1777521 2370028 3555042 4740056 7110084 9480112 14220168 18960224 28440336 56880672