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57156564 = 223232937193
BaseRepresentation
bin1101101000001…
…0001111010100
310222112212001210
43122002033110
5104113002224
65401021420
71262552133
oct332021724
9128485053
1057156564
112a299633
1217184870
13bac296a
14783b91a
155040429
hex36823d4

57156564 has 96 divisors (see below), whose sum is σ = 148619520. Its totient is φ = 17031168.

The previous prime is 57156563. The next prime is 57156569. The reversal of 57156564 is 46565175.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57156563) 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, 296052 + ... + 296244.

It is an arithmetic number, because the mean of its divisors is an integer number (1548120).

Almost surely, 257156564 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 57156564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74309760).

57156564 is an abundant number, since it is smaller than the sum of its proper divisors (91462956).

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

57156564 is a wasteful number, since it uses less digits than its factorization.

57156564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 287 counting only the distinct ones).

The product of its digits is 126000, while the sum is 39.

The square root of 57156564 is about 7560.1960292045. The cubic root of 57156564 is about 385.2021516665.

The spelling of 57156564 in words is "fifty-seven million, one hundred fifty-six thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 12 23 29 37 46 58 69 74 87 92 111 116 138 148 174 193 222 276 348 386 444 579 667 772 851 1073 1158 1334 1702 2001 2146 2316 2553 2668 3219 3404 4002 4292 4439 5106 5597 6438 7141 8004 8878 10212 11194 12876 13317 14282 16791 17756 21423 22388 24679 26634 28564 33582 42846 49358 53268 67164 74037 85692 98716 128731 148074 164243 207089 257462 296148 328486 386193 414178 492729 514924 621267 656972 772386 828356 985458 1242534 1544772 1970916 2485068 4763047 9526094 14289141 19052188 28578282 57156564