48555936 has 240 divisors, whose sum is σ = 169047648. Its totient is φ = 13478400.

The previous prime is 48555929. The next prime is 48555937. The reversal of 48555936 is 63955584.

48555936 is a `hidden beast` number, since 4 + 8 + 55 + 593 + 6 = 666.

48555936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (648000) is a multiple of the sum of its prime divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 48555891 and 48555900.

It is not an unprimeable number, because it can be changed into a prime (48555937) 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 39 ways as a sum of consecutive naturals, for example, 370591 + ... + 370721.

Almost surely, 2^48555936 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 48555936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84523824).

48555936 is an abundant number, since it is smaller than the sum of its proper divisors (120491712).

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

48555936 is a wasteful number, since it uses less digits than its factorization.

48555936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 160 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 48555936 is about 6968.2089520909. The cubic root of 48555936 is about 364.8217957891.

The spelling of 48555936 in words is "forty-eight million, five hundred fifty-five thousand, nine hundred thirty-six".