48388896 has 144 divisors (see below), whose sum is σ = 149385600. Its totient is φ = 14805504.

The previous prime is 48388871. The next prime is 48388903. The reversal of 48388896 is 69888384.

48388896 is a `hidden beast` number, since 483 + 88 + 89 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202345 + ... + 202583.

It is an arithmetic number, because the mean of its divisors is an integer number (1037400).

Almost surely, 2^48388896 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 48388896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74692800).

48388896 is an abundant number, since it is smaller than the sum of its proper divisors (100996704).

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

48388896 is a wasteful number, since it uses less digits than its factorization.

48388896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 300 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 48388896 is about 6956.2127627036. The cubic root of 48388896 is about 364.4029671659.

It can be divided in two parts, 48388 and 896, that added together give a square (49284 = 222²).

The spelling of 48388896 in words is "forty-eight million, three hundred eighty-eight thousand, eight hundred ninety-six".