252142848 has 72 divisors (see below), whose sum is σ = 745651200. Its totient is φ = 84045312.

The previous prime is 252142831. The next prime is 252142853. The reversal of 252142848 is 848241252.

252142848 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×252142848² = 127152031595102208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11328 + ... + 25151.

Almost surely, 2^252142848 is an apocalyptic number.

It is an amenable number.

252142848 is an abundant number, since it is smaller than the sum of its proper divisors (493508352).

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

252142848 is an equidigital number, since it uses as much as digits as its factorization.

252142848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36504 (or 36484 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The square root of 252142848 is about 15879.0065180414. The cubic root of 252142848 is about 631.7552863399.

It can be divided in two parts, 2521 and 42848, that added together give a square (45369 = 213²).

The spelling of 252142848 in words is "two hundred fifty-two million, one hundred forty-two thousand, eight hundred forty-eight".