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252435232 = 2573136353
BaseRepresentation
bin11110000101111…
…01101100100000
3122121000001001001
433002331230200
51004110411412
641014321344
76153443530
oct1702755440
9577001031
10252435232
1111a547365
1270659254
13403b5c7a
14257514c0
1517265957
hexf0bdb20

252435232 has 48 divisors (see below), whose sum is σ = 586317312. Its totient is φ = 104693760.

The previous prime is 252435137. The next prime is 252435247. The reversal of 252435232 is 232534252.

It is a happy number.

252435232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 252435232.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11233 + ... + 25120.

It is an arithmetic number, because the mean of its divisors is an integer number (12214944).

Almost surely, 2252435232 is an apocalyptic number.

It is an amenable number.

252435232 is an abundant number, since it is smaller than the sum of its proper divisors (333882080).

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

252435232 is a wasteful number, since it uses less digits than its factorization.

252435232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36401 (or 36393 counting only the distinct ones).

The product of its digits is 14400, while the sum is 28.

The square root of 252435232 is about 15888.2104719191. The cubic root of 252435232 is about 631.9993857816. Note that the first 3 decimals are identical.

Adding to 252435232 its reverse (232534252), we get a palindrome (484969484).

The spelling of 252435232 in words is "two hundred fifty-two million, four hundred thirty-five thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 992 1736 3472 6944 36353 72706 145412 254471 290824 508942 581648 1017884 1126943 1163296 2035768 2253886 4071536 4507772 7888601 8143072 9015544 15777202 18031088 31554404 36062176 63108808 126217616 252435232