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57164166 = 23217892099
BaseRepresentation
bin1101101000010…
…0000110000110
310222120020111100
43122010012012
5104113223131
65401120530
71262613243
oct332040606
9128506440
1057164166
112a2a4314
1217189146
13bac6267
1478405ca
1550427e6
hex3684186

57164166 has 48 divisors (see below), whose sum is σ = 132678000. Its totient is φ = 17723904.

The previous prime is 57164161. The next prime is 57164197. The reversal of 57164166 is 66146175.

57164166 is a `hidden beast` number, since 5 + 7 + 1 + 641 + 6 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 57164166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57164161) 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, 26185 + ... + 28283.

It is an arithmetic number, because the mean of its divisors is an integer number (2764125).

Almost surely, 257164166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57164166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66339000).

57164166 is an abundant number, since it is smaller than the sum of its proper divisors (75513834).

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

57164166 is a wasteful number, since it uses less digits than its factorization.

57164166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2213 (or 2210 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 57164166 is about 7560.6987772295. The cubic root of 57164166 is about 385.2192286025.

Subtracting 57164166 from its reverse (66146175), we obtain a square (8982009 = 29972).

The spelling of 57164166 in words is "fifty-seven million, one hundred sixty-four thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 17 18 34 51 89 102 153 178 267 306 534 801 1513 1602 2099 3026 4198 4539 6297 9078 12594 13617 18891 27234 35683 37782 71366 107049 186811 214098 321147 373622 560433 642294 1120866 1681299 3175787 3362598 6351574 9527361 19054722 28582083 57164166