Search a number
-
+
57955988 = 2231215077
BaseRepresentation
bin1101110100010…
…1011010010100
311001001110200002
43131011122110
5104314042423
65430110432
71302421616
oct335053224
9131043602
1057955988
112a795212
12174ab418
13c0127ac
1479a8db6
15514c228
hex3745694

57955988 has 18 divisors (see below), whose sum is σ = 104807178. Its totient is φ = 28041360.

The previous prime is 57955981. The next prime is 57956011. The reversal of 57955988 is 88955975.

57955988 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 only one way, i.e., 33965584 + 23990404 = 5828^2 + 4898^2 .

It is a super-2 number, since 2×579559882 = 6717793090112288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57955981) 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 5 ways as a sum of consecutive naturals, for example, 3695 + ... + 11382.

It is an arithmetic number, because the mean of its divisors is an integer number (5822621).

Almost surely, 257955988 is an apocalyptic number.

It is an amenable number.

57955988 is a deficient number, since it is larger than the sum of its proper divisors (46851190).

57955988 is a wasteful number, since it uses less digits than its factorization.

57955988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15143 (or 15110 counting only the distinct ones).

The product of its digits is 4536000, while the sum is 56.

The square root of 57955988 is about 7612.8830281307. The cubic root of 57955988 is about 386.9897283539.

The spelling of 57955988 in words is "fifty-seven million, nine hundred fifty-five thousand, nine hundred eighty-eight".

Divisors: 1 2 4 31 62 124 961 1922 3844 15077 30154 60308 467387 934774 1869548 14488997 28977994 57955988