52433920 has 264 divisors, whose sum is σ = 168017760. Its totient is φ = 15482880.

The previous prime is 52433897. The next prime is 52433963. The reversal of 52433920 is 2933425.

52433920 is a nontrivial binomial coefficient, being equal to C(10241, 2).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2759671 + ... + 2759689.

Almost surely, 2^52433920 is an apocalyptic number.

52433920 is the 10240-th triangular number.

52433920 is the 3414-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52433920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84008880).

52433920 is an abundant number, since it is smaller than the sum of its proper divisors (115583840).

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

52433920 is a wasteful number, since it uses less digits than its factorization.

52433920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 52433920 is about 7241.1269841096. The cubic root of 52433920 is about 374.2864535019.

The spelling of 52433920 in words is "fifty-two million, four hundred thirty-three thousand, nine hundred twenty".