Search a number
-
+
52531128 = 23321356123
BaseRepresentation
bin1100100001100…
…0111110111000
310122211212011100
43020120332320
5101421444003
65113531400
71205335656
oct310307670
9118755140
1052531128
112771a461
1215713b60
13ab63510
146d95dd6
154929ba3
hex3218fb8

52531128 has 48 divisors (see below), whose sum is σ = 153218520. Its totient is φ = 16163136.

The previous prime is 52531121. The next prime is 52531153. The reversal of 52531128 is 82113525.

It is a happy number.

52531128 is a `hidden beast` number, since 5 + 2 + 531 + 128 = 666.

52531128 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 (52531121) 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 11 ways as a sum of consecutive naturals, for example, 27126 + ... + 28997.

Almost surely, 252531128 is an apocalyptic number.

It is an amenable number.

52531128 is an abundant number, since it is smaller than the sum of its proper divisors (100687392).

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

52531128 is a wasteful number, since it uses less digits than its factorization.

52531128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56148 (or 56141 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 52531128 is about 7247.8360908619. The cubic root of 52531128 is about 374.5176090634.

The spelling of 52531128 in words is "fifty-two million, five hundred thirty-one thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 56123 112246 168369 224492 336738 448984 505107 673476 729599 1010214 1346952 1459198 2020428 2188797 2918396 4040856 4377594 5836792 6566391 8755188 13132782 17510376 26265564 52531128