48056064 has 108 divisors (see below), whose sum is σ = 148897224. Its totient is φ = 13719552.

The previous prime is 48056027. The next prime is 48056077. The reversal of 48056064 is 46065084.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 36994 + ... + 38270.

It is an arithmetic number, because the mean of its divisors is an integer number (1378678).

Almost surely, 2^48056064 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 48056064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74448612).

48056064 is an abundant number, since it is smaller than the sum of its proper divisors (100841160).

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

48056064 is a wasteful number, since it uses less digits than its factorization.

48056064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 48056064 is about 6932.2481201988. The cubic root of 48056064 is about 363.5655566377.

The spelling of 48056064 in words is "forty-eight million, fifty-six thousand, sixty-four".