54008944 has 80 divisors (see below), whose sum is σ = 124277760. Its totient is φ = 22464000.

The previous prime is 54008917. The next prime is 54008953. The reversal of 54008944 is 44980045.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103404 + ... + 103924.

It is an arithmetic number, because the mean of its divisors is an integer number (1553472).

Almost surely, 2^54008944 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 54008944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62138880).

54008944 is an abundant number, since it is smaller than the sum of its proper divisors (70268816).

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

54008944 is a wasteful number, since it uses less digits than its factorization.

54008944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 54008944 is about 7349.0777652710. The cubic root of 54008944 is about 377.9971818421.

Adding to 54008944 its reverse (44980045), we get a palindrome (98988989).

The spelling of 54008944 in words is "fifty-four million, eight thousand, nine hundred forty-four".