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56908164 = 223234147107
BaseRepresentation
bin1101100100010…
…1100110000100
310222002020022210
43121011212010
5104032030124
65351423420
71260466005
oct331054604
9128066283
1056908164
112a139a45
1217084b70
13ba36891
1477b51ac
154ee1a29
hex3645984

56908164 has 96 divisors (see below), whose sum is σ = 146313216. Its totient is φ = 17163520.

The previous prime is 56908127. The next prime is 56908169. The reversal of 56908164 is 46180965.

It is not an unprimeable number, because it can be changed into a prime (56908169) 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 31 ways as a sum of consecutive naturals, for example, 531799 + ... + 531905.

It is an arithmetic number, because the mean of its divisors is an integer number (1524096).

Almost surely, 256908164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56908164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73156608).

56908164 is an abundant number, since it is smaller than the sum of its proper divisors (89405052).

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

56908164 is a wasteful number, since it uses less digits than its factorization.

56908164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 56908164 is about 7543.7499958575. The cubic root of 56908164 is about 384.6433172616.

The spelling of 56908164 in words is "fifty-six million, nine hundred eight thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 23 41 46 47 69 82 92 94 107 123 138 141 164 188 214 246 276 282 321 428 492 564 642 943 1081 1284 1886 1927 2162 2461 2829 3243 3772 3854 4324 4387 4922 5029 5658 5781 6486 7383 7708 8774 9844 10058 11316 11562 12972 13161 14766 15087 17548 20116 23124 26322 29532 30174 44321 52644 60348 88642 100901 115667 132963 177284 201802 206189 231334 265926 302703 347001 403604 412378 462668 531852 605406 618567 694002 824756 1210812 1237134 1388004 2474268 4742347 9484694 14227041 18969388 28454082 56908164