48582016 has 64 divisors (see below), whose sum is σ = 112608000. Its totient is φ = 20445696.

The previous prime is 48582013. The next prime is 48582041. The reversal of 48582016 is 61028584.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48582013) 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, 52405 + ... + 53323.

It is an arithmetic number, because the mean of its divisors is an integer number (1759500).

Almost surely, 2^48582016 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 48582016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56304000).

48582016 is an abundant number, since it is smaller than the sum of its proper divisors (64025984).

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

48582016 is an equidigital number, since it uses as much as digits as its factorization.

48582016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 48582016 is about 6970.0800569290. The cubic root of 48582016 is about 364.8871008803.

The spelling of 48582016 in words is "forty-eight million, five hundred eighty-two thousand, sixteen".