48752784 has 120 divisors (see below), whose sum is σ = 145853760. Its totient is φ = 15158016.

The previous prime is 48752783. The next prime is 48752807. The reversal of 48752784 is 48725784.

48752784 is a `hidden beast` number, since 48 + 7 + 527 + 84 = 666.

48752784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (48752783) 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 23 ways as a sum of consecutive naturals, for example, 281722 + ... + 281894.

It is an arithmetic number, because the mean of its divisors is an integer number (1215448).

Almost surely, 2^48752784 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 48752784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72926880).

48752784 is an abundant number, since it is smaller than the sum of its proper divisors (97100976).

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

48752784 is a wasteful number, since it uses less digits than its factorization.

48752784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 300 counting only the distinct ones).

The product of its digits is 501760, while the sum is 45.

The square root of 48752784 is about 6982.3193854191. The cubic root of 48752784 is about 365.3141325208.

Subtracting from 48752784 its reverse (48725784), we obtain a cube (27000 = 30³).

The spelling of 48752784 in words is "forty-eight million, seven hundred fifty-two thousand, seven hundred eighty-four".