54938832 has 80 divisors (see below), whose sum is σ = 161864640. Its totient is φ = 15906816.

The previous prime is 54938831. The next prime is 54938839. The reversal of 54938832 is 23883945.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54938831) by changing a digit.

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, 8019 + ... + 13197.

It is an arithmetic number, because the mean of its divisors is an integer number (2023308).

Almost surely, 2^54938832 is an apocalyptic number.

54938832 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54938832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80932320).

54938832 is an abundant number, since it is smaller than the sum of its proper divisors (106925808).

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

54938832 is a wasteful number, since it uses less digits than its factorization.

54938832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5220 (or 5214 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 54938832 is about 7412.0733941320. The cubic root of 54938832 is about 380.1542125702.

The spelling of 54938832 in words is "fifty-four million, nine hundred thirty-eight thousand, eight hundred thirty-two".