Search a number
-
+
52362 = 2322909
BaseRepresentation
bin1100110010001010
32122211100
430302022
53133422
61042230
7305442
oct146212
978740
1052362
1136382
1226376
131aaab
1415122
15107ac
hexcc8a

52362 has 12 divisors (see below), whose sum is σ = 113490. Its totient is φ = 17448.

The previous prime is 52361. The next prime is 52363. The reversal of 52362 is 26325.

It is an interprime number because it is at equal distance from previous prime (52361) and next prime (52363).

It can be written as a sum of positive squares in only one way, i.e., 35721 + 16641 = 189^2 + 129^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 2909 = 52362 / (5 + 2 + 3 + 6 + 2).

It is a d-powerful number, because it can be written as 54 + 28 + 36 + 66 + 212 .

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (52361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1437 + ... + 1472.

252362 is an apocalyptic number.

52362 is an abundant number, since it is smaller than the sum of its proper divisors (61128).

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

52362 is a wasteful number, since it uses less digits than its factorization.

52362 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2917 (or 2914 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 52362 is about 228.8274459063. The cubic root of 52362 is about 37.4115247543.

Adding to 52362 its reverse (26325), we get a palindrome (78687).

It can be divided in two parts, 523 and 62, that added together give a palindrome (585).

The spelling of 52362 in words is "fifty-two thousand, three hundred sixty-two".

Divisors: 1 2 3 6 9 18 2909 5818 8727 17454 26181 52362