48085184 has 56 divisors (see below), whose sum is σ = 109837728. Its totient is φ = 20459520.

The previous prime is 48085171. The next prime is 48085189. The reversal of 48085184 is 48158084.

48085184 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×48085184³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (48085189) 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, 80792 + ... + 81384.

It is an arithmetic number, because the mean of its divisors is an integer number (1961388).

Almost surely, 2^48085184 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 48085184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54918864).

48085184 is an abundant number, since it is smaller than the sum of its proper divisors (61752544).

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

48085184 is a wasteful number, since it uses less digits than its factorization.

48085184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 38.

The square root of 48085184 is about 6934.3481308628. The cubic root of 48085184 is about 363.6389770721.

Subtracting 48085184 from its reverse (48158084), we obtain a square (72900 = 270²).

The spelling of 48085184 in words is "forty-eight million, eighty-five thousand, one hundred eighty-four".