48768984 has 96 divisors (see below), whose sum is σ = 145454400. Its totient is φ = 14639040.

The previous prime is 48768959. The next prime is 48768989. The reversal of 48768984 is 48986784.

48768984 is a `hidden beast` number, since 487 + 6 + 89 + 84 = 666.

48768984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 48768984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48768989) 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, 109867 + ... + 110309.

It is an arithmetic number, because the mean of its divisors is an integer number (1515150).

Almost surely, 2^48768984 is an apocalyptic number.

48768984 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 48768984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72727200).

48768984 is an abundant number, since it is smaller than the sum of its proper divisors (96685416).

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

48768984 is a wasteful number, since it uses less digits than its factorization.

48768984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 598 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 48768984 is about 6983.4793620372. The cubic root of 48768984 is about 365.3545912944.

The spelling of 48768984 in words is "forty-eight million, seven hundred sixty-eight thousand, nine hundred eighty-four".