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56655066 = 23133767293
BaseRepresentation
bin1101100000011…
…1110011011010
310221121101010210
43120013303122
5104000430231
65342151550
71255363056
oct330076332
9127541123
1056655066
1129a86876
1216b825b6
13b978610
14774ac66
154e91a46
hex3607cda

56655066 has 64 divisors (see below), whose sum is σ = 127628928. Its totient is φ = 16651008.

The previous prime is 56655061. The next prime is 56655083. The reversal of 56655066 is 66055665.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (56655061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193216 + ... + 193508.

It is an arithmetic number, because the mean of its divisors is an integer number (1994202).

Almost surely, 256655066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56655066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63814464).

56655066 is an abundant number, since it is smaller than the sum of its proper divisors (70973862).

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

56655066 is a wasteful number, since it uses less digits than its factorization.

56655066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415.

The product of its (nonzero) digits is 162000, while the sum is 39.

The square root of 56655066 is about 7526.9559584204. The cubic root of 56655066 is about 384.0722384712.

It can be divided in two parts, 5665 and 5066, that added together give a triangular number (10731 = T146).

The spelling of 56655066 in words is "fifty-six million, six hundred fifty-five thousand, sixty-six".

Divisors: 1 2 3 6 13 26 37 39 67 74 78 111 134 201 222 293 402 481 586 871 879 962 1443 1742 1758 2479 2613 2886 3809 4958 5226 7437 7618 10841 11427 14874 19631 21682 22854 32227 32523 39262 58893 64454 65046 96681 117786 140933 193362 255203 281866 422799 510406 726347 765609 845598 1452694 1531218 2179041 4358082 9442511 18885022 28327533 56655066