Search a number
-
+
252812520 = 23325702257
BaseRepresentation
bin11110001000110…
…01110011101000
3122121201012120200
433010121303220
51004210000040
641030352200
76156604512
oct1704316350
9577635520
10252812520
1111a784874
12707bb660
13404b890c
142580cbb2
15172dc630
hexf119ce8

252812520 has 48 divisors (see below), whose sum is σ = 821641860. Its totient is φ = 67416576.

The previous prime is 252812513. The next prime is 252812543. The reversal of 252812520 is 25218252.

252812520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 205119684 + 47692836 = 14322^2 + 6906^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 350769 + ... + 351488.

Almost surely, 2252812520 is an apocalyptic number.

252812520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252812520 is an abundant number, since it is smaller than the sum of its proper divisors (568829340).

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

252812520 is a wasteful number, since it uses less digits than its factorization.

252812520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702274 (or 702267 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 252812520 is about 15900.0792450855. The cubic root of 252812520 is about 632.3140897260.

The spelling of 252812520 in words is "two hundred fifty-two million, eight hundred twelve thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 702257 1404514 2106771 2809028 3511285 4213542 5618056 6320313 7022570 8427084 10533855 12640626 14045140 16854168 21067710 25281252 28090280 31601565 42135420 50562504 63203130 84270840 126406260 252812520