Search a number
-
+
57385752 = 23314091697
BaseRepresentation
bin1101101011101…
…0001100011000
310222222111110020
43122322030120
5104142321002
65405550440
71264525254
oct332721430
9128874406
1057385752
112a435846
1217275420
13bb73088
14789b264
1550882bc
hex36ba318

57385752 has 32 divisors (see below), whose sum is σ = 143650800. Its totient is φ = 19103744.

The previous prime is 57385747. The next prime is 57385763. The reversal of 57385752 is 25758375.

57385752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 32968 + ... + 34664.

Almost surely, 257385752 is an apocalyptic number.

It is an amenable number.

57385752 is an abundant number, since it is smaller than the sum of its proper divisors (86265048).

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

57385752 is a wasteful number, since it uses less digits than its factorization.

57385752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3115 (or 3111 counting only the distinct ones).

The product of its digits is 294000, while the sum is 42.

The square root of 57385752 is about 7575.3384082825. The cubic root of 57385752 is about 385.7163298344.

The spelling of 57385752 in words is "fifty-seven million, three hundred eighty-five thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 1409 1697 2818 3394 4227 5091 5636 6788 8454 10182 11272 13576 16908 20364 33816 40728 2391073 4782146 7173219 9564292 14346438 19128584 28692876 57385752