52129952 has 48 divisors (see below), whose sum is σ = 119532672. Its totient is φ = 21914880.

The previous prime is 52129949. The next prime is 52129969. The reversal of 52129952 is 25992125.

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, 9677 + ... + 14067.

It is an arithmetic number, because the mean of its divisors is an integer number (2490264).

Almost surely, 2^52129952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52129952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59766336).

52129952 is an abundant number, since it is smaller than the sum of its proper divisors (67402720).

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

52129952 is a wasteful number, since it uses less digits than its factorization.

52129952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4461 (or 4453 counting only the distinct ones).

The product of its digits is 16200, while the sum is 35.

The square root of 52129952 is about 7220.1074784244. The cubic root of 52129952 is about 373.5617847798.

The spelling of 52129952 in words is "fifty-two million, one hundred twenty-nine thousand, nine hundred fifty-two".