52213824 has 168 divisors, whose sum is σ = 170119040. Its totient is φ = 15178752.

The previous prime is 52213823. The next prime is 52213829. The reversal of 52213824 is 42831225.

52213824 is a `hidden beast` number, since 522 + 138 + 2 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52213823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142089 + ... + 142455.

Almost surely, 2^52213824 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 52213824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85059520).

52213824 is an abundant number, since it is smaller than the sum of its proper divisors (117905216).

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

52213824 is a wasteful number, since it uses less digits than its factorization.

52213824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 404 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 52213824 is about 7225.9133678726. The cubic root of 52213824 is about 373.7620189049.

It can be divided in two parts, 5221 and 3824, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 52213824 in words is "fifty-two million, two hundred thirteen thousand, eight hundred twenty-four".