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252434442 = 231353227269
BaseRepresentation
bin11110000101111…
…01100000001010
3122120222222221210
433002331200022
51004110400232
641014313550
76153441321
oct1702754012
9576888853
10252434442
1111a546807
12706588b6
13403b57c0
14257510b8
15172655cc
hexf0bd80a

252434442 has 64 divisors (see below), whose sum is σ = 558472320. Its totient is φ = 75588864.

The previous prime is 252434363. The next prime is 252434521. The reversal of 252434442 is 244434252.

252434442 = 42 + 52 + ... + 9112.

It is an interprime number because it is at equal distance from previous prime (252434363) and next prime (252434521).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 938284 + ... + 938552.

It is an arithmetic number, because the mean of its divisors is an integer number (8726130).

Almost surely, 2252434442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252434442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279236160).

252434442 is an abundant number, since it is smaller than the sum of its proper divisors (306037878).

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

252434442 is a wasteful number, since it uses less digits than its factorization.

252434442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567.

The product of its digits is 30720, while the sum is 30.

The square root of 252434442 is about 15888.1856106983. The cubic root of 252434442 is about 631.9987264969.

Adding to 252434442 its reverse (244434252), we get a palindrome (496868694).

The spelling of 252434442 in words is "two hundred fifty-two million, four hundred thirty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 13 26 39 53 78 106 159 227 269 318 454 538 681 689 807 1362 1378 1614 2067 2951 3497 4134 5902 6994 8853 10491 12031 14257 17706 20982 24062 28514 36093 42771 61063 72186 85542 122126 156403 183189 185341 312806 366378 370682 469209 556023 793819 938418 1112046 1587638 2381457 3236339 4762914 6472678 9709017 19418034 42072407 84144814 126217221 252434442