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57269828 = 227211101263
BaseRepresentation
bin1101101001110…
…1111001000100
310222202121102202
43122131321010
5104130113303
65403254032
71263533300
oct332357104
9128677382
1057269828
112a366740
121721a318
13bb32395
14786ad00
155063c88
hex369de44

57269828 has 72 divisors (see below), whose sum is σ = 128931264. Its totient is φ = 22008000.

The previous prime is 57269827. The next prime is 57269833. The reversal of 57269828 is 82896275.

Its product of digits (483840) is a multiple of the sum of its prime divisors (384).

It is not an unprimeable number, because it can be changed into a prime (57269827) 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, 217625 + ... + 217887.

It is an arithmetic number, because the mean of its divisors is an integer number (1790712).

Almost surely, 257269828 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 57269828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64465632).

57269828 is an abundant number, since it is smaller than the sum of its proper divisors (71661436).

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

57269828 is a wasteful number, since it uses less digits than its factorization.

57269828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 384 counting only the distinct ones).

The product of its digits is 483840, while the sum is 47.

The square root of 57269828 is about 7567.6831329014. The cubic root of 57269828 is about 385.4564283744.

The spelling of 57269828 in words is "fifty-seven million, two hundred sixty-nine thousand, eight hundred twenty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 101 154 196 202 263 308 404 526 539 707 1052 1078 1111 1414 1841 2156 2222 2828 2893 3682 4444 4949 5786 7364 7777 9898 11572 12887 15554 19796 20251 25774 26563 31108 40502 51548 53126 54439 81004 106252 108878 141757 185941 217756 283514 292193 371882 567028 584386 743764 1168772 1301587 2045351 2603174 4090702 5206348 8181404 14317457 28634914 57269828