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57811104 = 2533135147
BaseRepresentation
bin1101110010001…
…0000010100000
311000210002221000
43130202002200
5104244423404
65423032000
71301246331
oct334420240
9130702830
1057811104
112a6a637a
121743b600
13bc91870
14796c288
15511e339
hex37220a0

57811104 has 96 divisors (see below), whose sum is σ = 181621440. Its totient is φ = 17784576.

The previous prime is 57811097. The next prime is 57811157. The reversal of 57811104 is 40111875.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8659 + ... + 13805.

It is an arithmetic number, because the mean of its divisors is an integer number (1891890).

Almost surely, 257811104 is an apocalyptic number.

57811104 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57811104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90810720).

57811104 is an abundant number, since it is smaller than the sum of its proper divisors (123810336).

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

57811104 is a wasteful number, since it uses less digits than its factorization.

57811104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5179 (or 5165 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 57811104 is about 7603.3613619241. The cubic root of 57811104 is about 386.6669811069. Note that the first 3 decimals are identical.

Adding to 57811104 its reverse (40111875), we get a palindrome (97922979).

The spelling of 57811104 in words is "fifty-seven million, eight hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3744 5147 5616 10294 11232 15441 20588 30882 41176 46323 61764 66911 82352 92646 123528 133822 138969 164704 185292 200733 247056 267644 277938 370584 401466 494112 535288 555876 602199 741168 802932 1070576 1111752 1204398 1482336 1605864 1806597 2141152 2223504 2408796 3211728 3613194 4447008 4817592 6423456 7226388 9635184 14452776 19270368 28905552 57811104