Search a number
-
+
252532434 = 237112712017
BaseRepresentation
bin11110000110101…
…01011011010010
3122121011222101010
433003111123102
51004122014214
641020351350
76154330110
oct1703253322
9577158333
10252532434
1111a6033a0
12706a5556
134041b29b
1425778ab0
1517284659
hexf0d56d2

252532434 has 64 divisors (see below), whose sum is σ = 632328192. Its totient is φ = 65318400.

The previous prime is 252532429. The next prime is 252532451. The reversal of 252532434 is 434235252.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124194 + ... + 126210.

It is an arithmetic number, because the mean of its divisors is an integer number (9880128).

Almost surely, 2252532434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252532434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316164096).

252532434 is an abundant number, since it is smaller than the sum of its proper divisors (379795758).

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

252532434 is a wasteful number, since it uses less digits than its factorization.

252532434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311.

The product of its digits is 28800, while the sum is 30.

The square root of 252532434 is about 15891.2691123145. The cubic root of 252532434 is about 632.0804940070.

Adding to 252532434 its reverse (434235252), we get a palindrome (686767686).

The spelling of 252532434 in words is "two hundred fifty-two million, five hundred thirty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 271 462 542 813 1626 1897 2017 2981 3794 4034 5691 5962 6051 8943 11382 12102 14119 17886 20867 22187 28238 41734 42357 44374 62601 66561 84714 125202 133122 155309 310618 465927 546607 931854 1093214 1639821 3279642 3826249 6012677 7652498 11478747 12025354 18038031 22957494 36076062 42088739 84177478 126266217 252532434