48963264 has 112 divisors (see below), whose sum is σ = 156837888. Its totient is φ = 13160448.

The previous prime is 48963259. The next prime is 48963289. The reversal of 48963264 is 46236984.

It is a happy number.

48963264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 21777 + ... + 23919.

Almost surely, 2^48963264 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 48963264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78418944).

48963264 is an abundant number, since it is smaller than the sum of its proper divisors (107874624).

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

48963264 is a wasteful number, since it uses less digits than its factorization.

48963264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2182 (or 2172 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 48963264 is about 6997.3755080030. The cubic root of 48963264 is about 365.8391003473.

The spelling of 48963264 in words is "forty-eight million, nine hundred sixty-three thousand, two hundred sixty-four".