Search a number
-
+
58053144 = 23322310847
BaseRepresentation
bin1101110101110…
…1001000011000
311001020101221110
43131131020120
5104330200034
65432140320
71303305102
oct335351030
9131211843
1058053144
112a851206
12175376a0
13c047a96
1479d2572
15516ade9
hex375d218

58053144 has 32 divisors (see below), whose sum is σ = 145797120. Its totient is φ = 19262496.

The previous prime is 58053143. The next prime is 58053197. The reversal of 58053144 is 44135085.

58053144 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 not an unprimeable number, because it can be changed into a prime (58053143) 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 7 ways as a sum of consecutive naturals, for example, 72 + ... + 10775.

It is an arithmetic number, because the mean of its divisors is an integer number (4556160).

Almost surely, 258053144 is an apocalyptic number.

It is an amenable number.

58053144 is an abundant number, since it is smaller than the sum of its proper divisors (87743976).

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

58053144 is a wasteful number, since it uses less digits than its factorization.

58053144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11079 (or 11075 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 58053144 is about 7619.2613815251. The cubic root of 58053144 is about 387.2058543329.

The spelling of 58053144 in words is "fifty-eight million, fifty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 223 446 669 892 1338 1784 2676 5352 10847 21694 32541 43388 65082 86776 130164 260328 2418881 4837762 7256643 9675524 14513286 19351048 29026572 58053144