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56516166 = 23271014441
BaseRepresentation
bin1101011110010…
…1111001000110
310221100022121100
43113211321012
5103432004131
65335200530
71254244110
oct327457106
9127308540
1056516166
11299a1483
1216b16146
13b92a325
1477123b0
154e657e6
hex35e5e46

56516166 has 48 divisors (see below), whose sum is σ = 141362208. Its totient is φ = 15984000.

The previous prime is 56516113. The next prime is 56516167. The reversal of 56516166 is 66161565.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 56516166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56516167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10506 + ... + 14946.

It is an arithmetic number, because the mean of its divisors is an integer number (2945046).

Almost surely, 256516166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56516166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70681104).

56516166 is an abundant number, since it is smaller than the sum of its proper divisors (84846042).

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

56516166 is a wasteful number, since it uses less digits than its factorization.

56516166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4557 (or 4554 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 56516166 is about 7517.7234586010. The cubic root of 56516166 is about 383.7581077485.

The spelling of 56516166 in words is "fifty-six million, five hundred sixteen thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 101 126 202 303 606 707 909 1414 1818 2121 4242 4441 6363 8882 12726 13323 26646 31087 39969 62174 79938 93261 186522 279783 448541 559566 897082 1345623 2691246 3139787 4036869 6279574 8073738 9419361 18838722 28258083 56516166