48000084 has 48 divisors (see below), whose sum is σ = 123755520. Its totient is φ = 14358240.

The previous prime is 48000041. The next prime is 48000089.

48000084 is nontrivially palindromic in base 10.

48000084 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

48000084 is a modest number, since divided by 84 gives 48 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48000089) 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 15 ways as a sum of consecutive naturals, for example, 8127 + ... + 12729.

It is an arithmetic number, because the mean of its divisors is an integer number (2578240).

Almost surely, 2^48000084 is an apocalyptic number.

48000084 is a gapful number since it is divisible by the number (44) 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 48000084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61877760).

48000084 is an abundant number, since it is smaller than the sum of its proper divisors (75755436).

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

48000084 is a wasteful number, since it uses less digits than its factorization.

48000084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4700 (or 4698 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 48000084 is about 6928.2092924507. The cubic root of 48000084 is about 363.4243305637.

It can be divided in two parts, 480000 and 84, that added together give a palindrome (480084).

The spelling of 48000084 in words is "forty-eight million, eighty-four", and thus it is an aban number.