48681672 has 64 divisors (see below), whose sum is σ = 131738880. Its totient is φ = 14902272.

The previous prime is 48681653. The next prime is 48681673. The reversal of 48681672 is 27618684.

48681672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (48681673) 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 15 ways as a sum of consecutive naturals, for example, 104913 + ... + 105375.

It is an arithmetic number, because the mean of its divisors is an integer number (2058420).

Almost surely, 2^48681672 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 48681672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65869440).

48681672 is an abundant number, since it is smaller than the sum of its proper divisors (83057208).

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

48681672 is a wasteful number, since it uses less digits than its factorization.

48681672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 818 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 48681672 is about 6977.2252364389. The cubic root of 48681672 is about 365.1364273894.

The spelling of 48681672 in words is "forty-eight million, six hundred eighty-one thousand, six hundred seventy-two".