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57305385 = 32517173433
BaseRepresentation
bin1101101010011…
…0100100101001
310222211102012200
43122212210221
5104132233020
65404130413
71264042044
oct332464451
9128742180
1057305385
112a390425
1217236a09
13bb45617
147879c5b
15506e590
hex36a6929

57305385 has 48 divisors (see below), whose sum is σ = 106024464. Its totient is φ = 28532736.

The previous prime is 57305383. The next prime is 57305407. The reversal of 57305385 is 58350375.

57305385 is a `hidden beast` number, since 573 + 0 + 5 + 3 + 85 = 666.

57305385 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 514089 + 56791296 = 717^2 + 7536^2 .

It is not a de Polignac number, because 57305385 - 21 = 57305383 is a prime.

It is not an unprimeable number, because it can be changed into a prime (57305383) 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 47 ways as a sum of consecutive naturals, for example, 132129 + ... + 132561.

It is an arithmetic number, because the mean of its divisors is an integer number (2208843).

Almost surely, 257305385 is an apocalyptic number.

It is an amenable number.

57305385 is a deficient number, since it is larger than the sum of its proper divisors (48719079).

57305385 is a wasteful number, since it uses less digits than its factorization.

57305385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 57305385 is about 7570.0320342783. The cubic root of 57305385 is about 385.5361843833.

The spelling of 57305385 in words is "fifty-seven million, three hundred five thousand, three hundred eighty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 173 255 433 519 765 865 1299 1557 2165 2595 2941 3897 6495 7361 7785 8823 14705 19485 22083 26469 36805 44115 66249 74909 110415 132345 224727 331245 374545 674181 1123635 1273453 3370905 3820359 6367265 11461077 19101795 57305385