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252152424 = 23323502117
BaseRepresentation
bin11110000011110…
…00101001101000
3122120110200002200
433001320221220
51004022334144
641004300200
76151155156
oct1701705150
9576420080
10252152424
1111a373937
1270541660
1340317324
14256ba3d6
151720bc69
hexf078a68

252152424 has 24 divisors (see below), whose sum is σ = 682913010. Its totient is φ = 84050784.

The previous prime is 252152413. The next prime is 252152441. The reversal of 252152424 is 424251252.

252152424 is a `hidden beast` number, since 25 + 215 + 2 + 424 = 666.

It can be written as a sum of positive squares in only one way, i.e., 249956100 + 2196324 = 15810^2 + 1482^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 5 ways as a sum of consecutive naturals, for example, 1750987 + ... + 1751130.

Almost surely, 2252152424 is an apocalyptic number.

252152424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252152424 is an abundant number, since it is smaller than the sum of its proper divisors (430760586).

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

252152424 is a wasteful number, since it uses less digits than its factorization.

252152424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3502129 (or 3502122 counting only the distinct ones).

The product of its digits is 6400, while the sum is 27.

The square root of 252152424 is about 15879.3080453778. The cubic root of 252152424 is about 631.7632839388.

It can be divided in two parts, 2521 and 52424, that added together give a palindrome (54945).

The spelling of 252152424 in words is "two hundred fifty-two million, one hundred fifty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3502117 7004234 10506351 14008468 21012702 28016936 31519053 42025404 63038106 84050808 126076212 252152424