Search a number
-
+
57391632 = 2433132851
BaseRepresentation
bin1101101011101…
…1101000010000
310222222210112000
43122323220100
5104143013012
65410034000
71264551354
oct332735020
9128883460
1057391632
112a43a201
1217278900
13bb7595c
14789d464
155089ddc
hex36bba10

57391632 has 40 divisors (see below), whose sum is σ = 164736480. Its totient is φ = 19130400.

The previous prime is 57391619. The next prime is 57391639. The reversal of 57391632 is 23619375.

57391632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (57391639) 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, 65994 + ... + 66857.

It is an arithmetic number, because the mean of its divisors is an integer number (4118412).

Almost surely, 257391632 is an apocalyptic number.

It is an amenable number.

57391632 is an abundant number, since it is smaller than the sum of its proper divisors (107344848).

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

57391632 is a wasteful number, since it uses less digits than its factorization.

57391632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132868 (or 132856 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 57391632 is about 7575.7264998151. The cubic root of 57391632 is about 385.7295034560.

The spelling of 57391632 in words is "fifty-seven million, three hundred ninety-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 132851 265702 398553 531404 797106 1062808 1195659 1594212 2125616 2391318 3188424 3586977 4782636 6376848 7173954 9565272 14347908 19130544 28695816 57391632