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252004424 = 23743229457
BaseRepresentation
bin11110000010101…
…00100001001000
3122120012011002012
433001110201020
51004003120144
641001155052
76150000530
oct1701244110
9576164065
10252004424
1111a282721
127048ba88
1340294b59
142567c4c0
15171cce9e
hexf054848

252004424 has 64 divisors (see below), whose sum is σ = 556195200. Its totient is φ = 104799744.

The previous prime is 252004387. The next prime is 252004427. The reversal of 252004424 is 424400252.

252004424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 252004424.

It is not an unprimeable number, because it can be changed into a prime (252004427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 551204 + ... + 551660.

It is an arithmetic number, because the mean of its divisors is an integer number (8690550).

Almost surely, 2252004424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252004424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278097600).

252004424 is an abundant number, since it is smaller than the sum of its proper divisors (304190776).

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

252004424 is a wasteful number, since it uses less digits than its factorization.

252004424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 23.

The square root of 252004424 is about 15874.6472086784. The cubic root of 252004424 is about 631.6396559841.

Adding to 252004424 its reverse (424400252), we get a palindrome (676404676).

The spelling of 252004424 in words is "two hundred fifty-two million, four thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 43 56 86 172 229 301 344 457 458 602 914 916 1204 1603 1828 1832 2408 3199 3206 3656 6398 6412 9847 12796 12824 19651 19694 25592 39302 39388 68929 78604 78776 104653 137557 137858 157208 209306 275114 275716 418612 550228 551432 732571 837224 1100456 1465142 2930284 4500079 5860568 9000158 18000316 31500553 36000632 63001106 126002212 252004424