48134784 has 64 divisors (see below), whose sum is σ = 129205440. Its totient is φ = 15876096.

The previous prime is 48134777. The next prime is 48134789. The reversal of 48134784 is 48743184.

48134784 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 (64).

It is not an unprimeable number, because it can be changed into a prime (48134789) 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, 38944 + ... + 40160.

It is an arithmetic number, because the mean of its divisors is an integer number (2018835).

Almost surely, 2^48134784 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 48134784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64602720).

48134784 is an abundant number, since it is smaller than the sum of its proper divisors (81070656).

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

48134784 is a wasteful number, since it uses less digits than its factorization.

48134784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1325 counting only the distinct ones).

The product of its digits is 86016, while the sum is 39.

The square root of 48134784 is about 6937.9236086887. The cubic root of 48134784 is about 363.7639656428.

Subtracting 48134784 from its reverse (48743184), we obtain a square (608400 = 780²).

The spelling of 48134784 in words is "forty-eight million, one hundred thirty-four thousand, seven hundred eighty-four".