54442752 has 288 divisors, whose sum is σ = 192299520. Its totient is φ = 13271040.

The previous prime is 54442747. The next prime is 54442757. The reversal of 54442752 is 25724445.

54442752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54442747) and next prime (54442757).

It is not an unprimeable number, because it can be changed into a prime (54442757) 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 31 ways as a sum of consecutive naturals, for example, 1327852 + ... + 1327892.

Almost surely, 2^54442752 is an apocalyptic number.

54442752 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 54442752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96149760).

54442752 is an abundant number, since it is smaller than the sum of its proper divisors (137856768).

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

54442752 is a wasteful number, since it uses less digits than its factorization.

54442752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 85 counting only the distinct ones).

The product of its digits is 44800, while the sum is 33.

The square root of 54442752 is about 7378.5331875651. The cubic root of 54442752 is about 379.0065277359.

The spelling of 54442752 in words is "fifty-four million, four hundred forty-two thousand, seven hundred fifty-two".