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57793668 = 22319253481
BaseRepresentation
bin1101110001110…
…1110010000100
311000202020000020
43130131302010
5104243344133
65422415140
71301144442
oct334356204
9130666006
1057793668
112a694269
12174314b0
13bc8694a
147965b92
1551190b3
hex371dc84

57793668 has 24 divisors (see below), whose sum is σ = 141949920. Its totient is φ = 18250560.

The previous prime is 57793661. The next prime is 57793669. The reversal of 57793668 is 86639775.

57793668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×577936683 (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 57793668.

It is not an unprimeable number, because it can be changed into a prime (57793661) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 126513 + ... + 126968.

It is an arithmetic number, because the mean of its divisors is an integer number (5914580).

Almost surely, 257793668 is an apocalyptic number.

It is an amenable number.

57793668 is an abundant number, since it is smaller than the sum of its proper divisors (84156252).

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

57793668 is a wasteful number, since it uses less digits than its factorization.

57793668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253507 (or 253505 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 51.

The square root of 57793668 is about 7602.2146773161. The cubic root of 57793668 is about 386.6281038963.

It can be divided in two parts, 57 and 793668, that multiplied together give a square (45239076 = 67262).

The spelling of 57793668 in words is "fifty-seven million, seven hundred ninety-three thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 253481 506962 760443 1013924 1520886 3041772 4816139 9632278 14448417 19264556 28896834 57793668