Search a number
-
+
52332258 = 231136553
BaseRepresentation
bin1100011110100…
…0011011100010
310122110202100210
43013220123202
5101344113013
65105354550
71203550116
oct307503342
9118422323
1052332258
11275a4000
1215638a56
13aac3b44
146d43746
1548dacc3
hex31e86e2

52332258 has 32 divisors (see below), whose sum is σ = 115140672. Its totient is φ = 15855840.

The previous prime is 52332257. The next prime is 52332263. The reversal of 52332258 is 85223325.

52332258 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (52332257) 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 15 ways as a sum of consecutive naturals, for example, 4710 + ... + 11262.

It is an arithmetic number, because the mean of its divisors is an integer number (3598146).

Almost surely, 252332258 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52332258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57570336).

52332258 is an abundant number, since it is smaller than the sum of its proper divisors (62808414).

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

52332258 is a wasteful number, since it uses less digits than its factorization.

52332258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6591 (or 6569 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 52332258 is about 7234.1038145716. The cubic root of 52332258 is about 374.0444007263.

The spelling of 52332258 in words is "fifty-two million, three hundred thirty-two thousand, two hundred fifty-eight".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 1331 2662 3993 6553 7986 13106 19659 39318 72083 144166 216249 432498 792913 1585826 2378739 4757478 8722043 17444086 26166129 52332258