53024384 has 128 divisors (see below), whose sum is σ = 131604480. Its totient is φ = 20782080.

The previous prime is 53024381. The next prime is 53024401. The reversal of 53024384 is 48342035.

53024384 = 492² + 493² + ... + 652².

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (53024381) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 638807 + ... + 638889.

It is an arithmetic number, because the mean of its divisors is an integer number (1028160).

Almost surely, 2^53024384 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 53024384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65802240).

53024384 is an abundant number, since it is smaller than the sum of its proper divisors (78580096).

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

53024384 is a wasteful number, since it uses less digits than its factorization.

53024384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 53024384 is about 7281.7843966984. The cubic root of 53024384 is about 375.6861724214.

The spelling of 53024384 in words is "fifty-three million, twenty-four thousand, three hundred eighty-four".