52129024 has 36 divisors (see below), whose sum is σ = 104797924. Its totient is φ = 25878528.

The previous prime is 52129003. The next prime is 52129087. The reversal of 52129024 is 42092125.

52129024 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 2 ways, for example, as 38937600 + 13191424 = 6240^2 + 3632^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 52129024.

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 3 ways as a sum of consecutive naturals, for example, 39544 + ... + 40840.

Almost surely, 2^52129024 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 52129024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52398962).

52129024 is an abundant number, since it is smaller than the sum of its proper divisors (52668900).

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

52129024 is a wasteful number, since it uses less digits than its factorization.

52129024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 52129024 is about 7220.0432131671. The cubic root of 52129024 is about 373.5595680926.

The spelling of 52129024 in words is "fifty-two million, one hundred twenty-nine thousand, twenty-four".