53542304 has 48 divisors (see below), whose sum is σ = 112402080. Its totient is φ = 25032960.

The previous prime is 53542303. The next prime is 53542319. The reversal of 53542304 is 40324535.

53542304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (53542303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49934 + ... + 50994.

It is an arithmetic number, because the mean of its divisors is an integer number (2341710).

Almost surely, 2^53542304 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 53542304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56201040).

53542304 is an abundant number, since it is smaller than the sum of its proper divisors (58859776).

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

53542304 is a wasteful number, since it uses less digits than its factorization.

53542304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 26.

The square root of 53542304 is about 7317.2606896297. The cubic root of 53542304 is about 376.9053931707.

Adding to 53542304 its reverse (40324535), we get a palindrome (93866839).

The spelling of 53542304 in words is "fifty-three million, five hundred forty-two thousand, three hundred four".