48483648 has 84 divisors (see below), whose sum is σ = 142428468. Its totient is φ = 15759360.

The previous prime is 48483637. The next prime is 48483691. The reversal of 48483648 is 84638484.

It can be written as a sum of positive squares in 2 ways, for example, as 11614464 + 36869184 = 3408^2 + 6072^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22590 + ... + 24642.

It is an arithmetic number, because the mean of its divisors is an integer number (1695577).

Almost surely, 2^48483648 is an apocalyptic number.

48483648 is a gapful number since it is divisible by the number (48) 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 48483648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71214234).

48483648 is an abundant number, since it is smaller than the sum of its proper divisors (93944820).

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

48483648 is a wasteful number, since it uses less digits than its factorization.

48483648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2112 (or 2099 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 48483648 is about 6963.0200344391. The cubic root of 48483648 is about 364.6406621780.

The spelling of 48483648 in words is "forty-eight million, four hundred eighty-three thousand, six hundred forty-eight".