48681344 has 64 divisors (see below), whose sum is σ = 105039600. Its totient is φ = 22394880.

The previous prime is 48681341. The next prime is 48681371. The reversal of 48681344 is 44318684.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 48681298 and 48681307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48681341) 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, 89714 + ... + 90254.

Almost surely, 2^48681344 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 48681344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52519800).

48681344 is an abundant number, since it is smaller than the sum of its proper divisors (56358256).

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

48681344 is a wasteful number, since it uses less digits than its factorization.

48681344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 599 counting only the distinct ones).

The product of its digits is 73728, while the sum is 38.

The square root of 48681344 is about 6977.2017313533. The cubic root of 48681344 is about 365.1356073339.

The spelling of 48681344 in words is "forty-eight million, six hundred eighty-one thousand, three hundred forty-four".