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57105804 = 223753101127
BaseRepresentation
bin1101100111010…
…1110110001100
310222110021102210
43121311312030
5104104341204
65355550420
71262251140
oct331656614
9128407383
1057105804
112a264488
121715b410
13baa5822
147827220
155030389
hex3675d8c

57105804 has 96 divisors (see below), whose sum is σ = 157925376. Its totient is φ = 15724800.

The previous prime is 57105761. The next prime is 57105827. The reversal of 57105804 is 40850175.

It is a super-2 number, since 2×571058042 = 6522145700972832, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 449589 + ... + 449715.

It is an arithmetic number, because the mean of its divisors is an integer number (1645056).

Almost surely, 257105804 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 57105804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78962688).

57105804 is an abundant number, since it is smaller than the sum of its proper divisors (100819572).

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

57105804 is a wasteful number, since it uses less digits than its factorization.

57105804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 57105804 is about 7556.8382277246. The cubic root of 57105804 is about 385.0880868889.

Adding to 57105804 its reverse (40850175), we get a palindrome (97955979).

The spelling of 57105804 in words is "fifty-seven million, one hundred five thousand, eight hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 101 106 127 159 202 212 254 303 318 371 381 404 508 606 636 707 742 762 889 1113 1212 1414 1484 1524 1778 2121 2226 2667 2828 3556 4242 4452 5334 5353 6731 8484 10668 10706 12827 13462 16059 20193 21412 25654 26924 32118 37471 38481 40386 47117 51308 64236 74942 76962 80772 89789 94234 112413 141351 149884 153924 179578 188468 224826 269367 282702 359156 449652 538734 565404 679831 1077468 1359662 2039493 2719324 4078986 4758817 8157972 9517634 14276451 19035268 28552902 57105804