48753216 has 84 divisors (see below), whose sum is σ = 142468092. Its totient is φ = 15934464.

The previous prime is 48753203. The next prime is 48753227. The reversal of 48753216 is 61235784.

48753216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 22127616 + 26625600 = 4704^2 + 5160^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 29730 + ... + 31326.

Almost surely, 2^48753216 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 48753216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71234046).

48753216 is an abundant number, since it is smaller than the sum of its proper divisors (93714876).

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

48753216 is a wasteful number, since it uses less digits than its factorization.

48753216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 1655 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 48753216 is about 6982.3503206299. The cubic root of 48753216 is about 365.3152115377.

The spelling of 48753216 in words is "forty-eight million, seven hundred fifty-three thousand, two hundred sixteen".