52461824 has 36 divisors (see below), whose sum is σ = 105807660. Its totient is φ = 25958400.

The previous prime is 52461803. The next prime is 52461833. The reversal of 52461824 is 42816425.

It can be written as a sum of positive squares in 2 ways, for example, as 51380224 + 1081600 = 7168^2 + 1040^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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 3 ways as a sum of consecutive naturals, for example, 24842 + ... + 26870.

Almost surely, 2^52461824 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 52461824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52903830).

52461824 is an abundant number, since it is smaller than the sum of its proper divisors (53345836).

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

52461824 is a wasteful number, since it uses less digits than its factorization.

52461824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146 (or 2132 counting only the distinct ones).

The product of its digits is 15360, while the sum is 32.

The square root of 52461824 is about 7243.0534997334. The cubic root of 52461824 is about 374.3528369744.

The spelling of 52461824 in words is "fifty-two million, four hundred sixty-one thousand, eight hundred twenty-four".