Search a number
-
+
52157268 = 22324013613
BaseRepresentation
bin1100011011110…
…1101101010100
310122010212022200
43012331231110
5101323013033
65101524500
71202221002
oct306755524
9118125280
1052157268
1127494589
1215573730
13aa622b7
146cd9a72
1548a4013
hex31bdb54

52157268 has 36 divisors (see below), whose sum is σ = 132207348. Its totient is φ = 17337600.

The previous prime is 52157267. The next prime is 52157279. The reversal of 52157268 is 86275125.

It is a happy number.

52157268 is a `hidden beast` number, since 5 + 21 + 572 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24088464 + 28068804 = 4908^2 + 5298^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52157267) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12630 + ... + 16242.

Almost surely, 252157268 is an apocalyptic number.

It is an amenable number.

52157268 is an abundant number, since it is smaller than the sum of its proper divisors (80050080).

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

52157268 is a wasteful number, since it uses less digits than its factorization.

52157268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4024 (or 4019 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 52157268 is about 7221.9988922735. The cubic root of 52157268 is about 373.6270219516.

It can be divided in two parts, 52157 and 268, that added together give a palindrome (52425).

The spelling of 52157268 in words is "fifty-two million, one hundred fifty-seven thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 401 802 1203 1604 2406 3609 3613 4812 7218 7226 10839 14436 14452 21678 32517 43356 65034 130068 1448813 2897626 4346439 5795252 8692878 13039317 17385756 26078634 52157268