Search a number
-
+
57385560 = 2335478213
BaseRepresentation
bin1101101011101…
…0001001011000
310222222111012010
43122322021120
5104142314220
65405545520
71264524561
oct332721130
9128874163
1057385560
112a435691
12172752a0
13bb72c6b
14789b168
1550881e0
hex36ba258

57385560 has 32 divisors (see below), whose sum is σ = 172157040. Its totient is φ = 15302784.

The previous prime is 57385553. The next prime is 57385571. The reversal of 57385560 is 6558375.

57385560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its 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, 238987 + ... + 239226.

Almost surely, 257385560 is an apocalyptic number.

It is an amenable number.

57385560 is an abundant number, since it is smaller than the sum of its proper divisors (114771480).

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

57385560 is a wasteful number, since it uses less digits than its factorization.

57385560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478227 (or 478223 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The square root of 57385560 is about 7575.3257355707. The cubic root of 57385560 is about 385.7158996601.

The spelling of 57385560 in words is "fifty-seven million, three hundred eighty-five thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 478213 956426 1434639 1912852 2391065 2869278 3825704 4782130 5738556 7173195 9564260 11477112 14346390 19128520 28692780 57385560