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57035112 = 23319229227
BaseRepresentation
bin1101100110010…
…0100101101000
310222022200110120
43121210211220
5104100110422
65354243240
71261535061
oct331444550
9128280416
1057035112
112a216362
1217126520
13ba7c5b4
147809568
15501945c
hex3664968

57035112 has 96 divisors (see below), whose sum is σ = 156362400. Its totient is φ = 17313408.

The previous prime is 57035107. The next prime is 57035113. The reversal of 57035112 is 21153075.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (57035113) 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, 251143 + ... + 251369.

It is an arithmetic number, because the mean of its divisors is an integer number (1628775).

Almost surely, 257035112 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 57035112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78181200).

57035112 is an abundant number, since it is smaller than the sum of its proper divisors (99327288).

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

57035112 is a wasteful number, since it uses less digits than its factorization.

57035112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 57035112 is about 7552.1594262833. The cubic root of 57035112 is about 384.9291194638.

Adding to 57035112 its reverse (21153075), we get a palindrome (78188187).

The spelling of 57035112 in words is "fifty-seven million, thirty-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 29 38 57 58 76 87 114 116 152 174 227 228 232 348 361 454 456 551 681 696 722 908 1083 1102 1362 1444 1653 1816 2166 2204 2724 2888 3306 4313 4332 4408 5448 6583 6612 8626 8664 10469 12939 13166 13224 17252 19749 20938 25878 26332 31407 34504 39498 41876 51756 52664 62814 78996 81947 83752 103512 125077 125628 157992 163894 245841 250154 251256 327788 375231 491682 500308 655576 750462 983364 1000616 1500924 1966728 2376463 3001848 4752926 7129389 9505852 14258778 19011704 28517556 57035112