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56608002 = 23211377727
BaseRepresentation
bin1101011111110…
…0010100000010
310221111222120200
43113330110002
5103442424002
65341150030
71255105623
oct327742402
9127458520
1056608002
1129a54480
1216b5b316
13b960079
147737a4a
154e82b1c
hex35fc502

56608002 has 48 divisors (see below), whose sum is σ = 137434752. Its totient is φ = 16688160.

The previous prime is 56607983. The next prime is 56608009. The reversal of 56608002 is 20080665.

56608002 is a `hidden beast` number, since 56 + 608 + 0 + 0 + 2 = 666.

56608002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (56608009) 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 23 ways as a sum of consecutive naturals, for example, 3463 + ... + 11189.

It is an arithmetic number, because the mean of its divisors is an integer number (2863224).

Almost surely, 256608002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56608002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68717376).

56608002 is an abundant number, since it is smaller than the sum of its proper divisors (80826750).

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

56608002 is a wasteful number, since it uses less digits than its factorization.

56608002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7783 (or 7780 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 56608002 is about 7523.8289454240. The cubic root of 56608002 is about 383.9658579671.

Adding to 56608002 its reverse (20080665), we get a palindrome (76688667).

The spelling of 56608002 in words is "fifty-six million, six hundred eight thousand, two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 814 1221 2442 3663 7326 7727 15454 23181 46362 69543 84997 139086 169994 254991 285899 509982 571798 764973 857697 1529946 1715394 2573091 3144889 5146182 6289778 9434667 18869334 28304001 56608002