54008352 has 72 divisors (see below), whose sum is σ = 154368396. Its totient is φ = 17911296.

The previous prime is 54008329. The next prime is 54008389. The reversal of 54008352 is 25380045.

It can be written as a sum of positive squares in 2 ways, for example, as 52359696 + 1648656 = 7236^2 + 1284^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79438 + ... + 80114.

Almost surely, 2^54008352 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 54008352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77184198).

54008352 is an abundant number, since it is smaller than the sum of its proper divisors (100360044).

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

54008352 is a wasteful number, since it uses less digits than its factorization.

54008352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 54008352 is about 7349.0374879980. The cubic root of 54008352 is about 377.9958007428.

Adding to 54008352 its reverse (25380045), we get a palindrome (79388397).

The spelling of 54008352 in words is "fifty-four million, eight thousand, three hundred fifty-two".