48084064 has 48 divisors (see below), whose sum is σ = 109353888. Its totient is φ = 20385792.

The previous prime is 48084037. The next prime is 48084083. The reversal of 48084064 is 46048084.

48084064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×48084064³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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, 20622 + ... + 22834.

It is an arithmetic number, because the mean of its divisors is an integer number (2278206).

Almost surely, 2^48084064 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 48084064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54676944).

48084064 is an abundant number, since it is smaller than the sum of its proper divisors (61269824).

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

48084064 is a wasteful number, since it uses less digits than its factorization.

48084064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2327 (or 2319 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The square root of 48084064 is about 6934.2673729818. The cubic root of 48084064 is about 363.6361537575.

The spelling of 48084064 in words is "forty-eight million, eighty-four thousand, sixty-four".