Search a number
-
+
252528520 = 23529217697
BaseRepresentation
bin11110000110101…
…00011110001000
3122121011210000011
433003110132020
51004121403040
641020321304
76154312516
oct1703243610
9577153004
10252528520
1111a600462
12706a3234
134041957a
14257774b6
15172833ea
hexf0d4788

252528520 has 32 divisors (see below), whose sum is σ = 587784600. Its totient is φ = 97527808.

The previous prime is 252528481. The next prime is 252528527. The reversal of 252528520 is 25825252.

It can be written as a sum of positive squares in 4 ways, for example, as 245799684 + 6728836 = 15678^2 + 2594^2 .

It is not an unprimeable number, because it can be changed into a prime (252528527) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 107689 + ... + 110008.

Almost surely, 2252528520 is an apocalyptic number.

252528520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252528520 is an abundant number, since it is smaller than the sum of its proper divisors (335256080).

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

252528520 is a wasteful number, since it uses less digits than its factorization.

252528520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217737 (or 217733 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 31.

The square root of 252528520 is about 15891.1459624534. The cubic root of 252528520 is about 632.0772284518.

The spelling of 252528520 in words is "two hundred fifty-two million, five hundred twenty-eight thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 217697 435394 870788 1088485 1741576 2176970 4353940 6313213 8707880 12626426 25252852 31566065 50505704 63132130 126264260 252528520