Search a number
-
+
57728608 = 257257717
BaseRepresentation
bin1101110000110…
…1111001100000
311000121220202121
43130031321200
5104234303413
65421154024
71300453660
oct334157140
9130556677
1057728608
112a64a3a3
12173bb914
13bc63152
14794a1a0
155104b8d
hex370de60

57728608 has 24 divisors (see below), whose sum is σ = 129889872. Its totient is φ = 24740736.

The previous prime is 57728591. The next prime is 57728611. The reversal of 57728608 is 80682775.

It is a happy number.

57728608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 3 ways as a sum of consecutive naturals, for example, 128635 + ... + 129082.

It is an arithmetic number, because the mean of its divisors is an integer number (5412078).

Almost surely, 257728608 is an apocalyptic number.

It is an amenable number.

57728608 is an abundant number, since it is smaller than the sum of its proper divisors (72161264).

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

57728608 is a wasteful number, since it uses less digits than its factorization.

57728608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257734 (or 257726 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 43.

The square root of 57728608 is about 7597.9344561532. The cubic root of 57728608 is about 386.4829699506.

The spelling of 57728608 in words is "fifty-seven million, seven hundred twenty-eight thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 257717 515434 1030868 1804019 2061736 3608038 4123472 7216076 8246944 14432152 28864304 57728608