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56002356 = 22322576053
BaseRepresentation
bin1101010110100…
…0011100110100
310220101012210100
43111220130310
5103314033411
65320154100
71250004114
oct325503464
9126335710
1056002356
1129680443
1216908930
13b7aa4b7
14761b044
154db3456
hex3568734

56002356 has 36 divisors (see below), whose sum is σ = 142135812. Its totient is φ = 18591744.

The previous prime is 56002339. The next prime is 56002357. The reversal of 56002356 is 65320065.

56002356 is a `hidden beast` number, since 5 + 600 + 2 + 3 + 56 = 666.

56002356 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 32148900 + 23853456 = 5670^2 + 4884^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56002357) 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 11 ways as a sum of consecutive naturals, for example, 6226 + ... + 12278.

It is an arithmetic number, because the mean of its divisors is an integer number (3948217).

Almost surely, 256002356 is an apocalyptic number.

It is an amenable number.

56002356 is an abundant number, since it is smaller than the sum of its proper divisors (86133456).

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

56002356 is a wasteful number, since it uses less digits than its factorization.

56002356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6320 (or 6315 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 56002356 is about 7483.4721887637. The cubic root of 56002356 is about 382.5916017957.

The spelling of 56002356 in words is "fifty-six million, two thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 257 514 771 1028 1542 2313 3084 4626 6053 9252 12106 18159 24212 36318 54477 72636 108954 217908 1555621 3111242 4666863 6222484 9333726 14000589 18667452 28001178 56002356