52981824 has 112 divisors (see below), whose sum is σ = 162560000. Its totient is φ = 14916096.

The previous prime is 52981813. The next prime is 52981829. The reversal of 52981824 is 42818925.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×52981824³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (52981829) 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, 105927 + ... + 106425.

Almost surely, 2^52981824 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 52981824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81280000).

52981824 is an abundant number, since it is smaller than the sum of its proper divisors (109578176).

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

52981824 is a wasteful number, since it uses less digits than its factorization.

52981824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 590 counting only the distinct ones).

The product of its digits is 46080, while the sum is 39.

The square root of 52981824 is about 7278.8614494301. The cubic root of 52981824 is about 375.5856307327.

The spelling of 52981824 in words is "fifty-two million, nine hundred eighty-one thousand, eight hundred twenty-four".