48967968 has 48 divisors (see below), whose sum is σ = 146905920. Its totient is φ = 13990656.

The previous prime is 48967861. The next prime is 48967969. The reversal of 48967968 is 86976984.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (48967969) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 35763 + ... + 37106.

It is an arithmetic number, because the mean of its divisors is an integer number (3060540).

Almost surely, 2^48967968 is an apocalyptic number.

48967968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

48967968 is an abundant number, since it is smaller than the sum of its proper divisors (97937952).

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

48967968 is a wasteful number, since it uses less digits than its factorization.

48967968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72889 (or 72881 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 57.

The square root of 48967968 is about 6997.7116259532. The cubic root of 48967968 is about 365.8508156067.

The spelling of 48967968 in words is "forty-eight million, nine hundred sixty-seven thousand, nine hundred sixty-eight".