48319824 has 80 divisors (see below), whose sum is σ = 147292160. Its totient is φ = 13357440.

The previous prime is 48319823. The next prime is 48319837. The reversal of 48319824 is 42891384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48319823) 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 15 ways as a sum of consecutive naturals, for example, 8097 + ... + 12735.

It is an arithmetic number, because the mean of its divisors is an integer number (1841152).

Almost surely, 2^48319824 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 48319824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73646080).

48319824 is an abundant number, since it is smaller than the sum of its proper divisors (98972336).

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

48319824 is a wasteful number, since it uses less digits than its factorization.

48319824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4688 (or 4682 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 48319824 is about 6951.2462192042. The cubic root of 48319824 is about 364.2294974271.

The spelling of 48319824 in words is "forty-eight million, three hundred nineteen thousand, eight hundred twenty-four".