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57000816 = 2432311132
BaseRepresentation
bin1101100101110…
…0001101110000
310222020221102100
43121130031300
5104043011231
65353420400
71261333065
oct331341560
9128227370
1057000816
112a1a2614
121710a700
13ba69ac2
1477dac6c
15500e1e6
hex365c370

57000816 has 90 divisors (see below), whose sum is σ = 166139168. Its totient is φ = 18224640.

The previous prime is 57000799. The next prime is 57000841. The reversal of 57000816 is 61800075.

57000816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 57000816.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 504376 + ... + 504488.

Almost surely, 257000816 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 57000816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83069584).

57000816 is an abundant number, since it is smaller than the sum of its proper divisors (109138352).

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

57000816 is a wasteful number, since it uses less digits than its factorization.

57000816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 57000816 is about 7549.8884759975. Note that the first 3 decimals coincide. The cubic root of 57000816 is about 384.8519495966.

The spelling of 57000816 in words is "fifty-seven million, eight hundred sixteen", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 113 124 144 186 226 248 279 339 372 452 496 558 678 744 904 1017 1116 1356 1488 1808 2034 2232 2712 3503 4068 4464 5424 7006 8136 10509 12769 14012 16272 21018 25538 28024 31527 38307 42036 51076 56048 63054 76614 84072 102152 114921 126108 153228 168144 204304 229842 252216 306456 395839 459684 504432 612912 791678 919368 1187517 1583356 1838736 2375034 3166712 3562551 4750068 6333424 7125102 9500136 14250204 19000272 28500408 57000816