49815216 has 120 divisors (see below), whose sum is σ = 157333680. Its totient is φ = 15079680.

The previous prime is 49815211. The next prime is 49815247. The reversal of 49815216 is 61251894.

49815216 is a `hidden beast` number, since 498 + 152 + 16 = 666.

49815216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (49815211) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 51796 + ... + 52748.

It is an arithmetic number, because the mean of its divisors is an integer number (1311114).

Almost surely, 2^49815216 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 49815216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78666840).

49815216 is an abundant number, since it is smaller than the sum of its proper divisors (107518464).

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

49815216 is a wasteful number, since it uses less digits than its factorization.

49815216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 969 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 49815216 is about 7057.9895154357. The cubic root of 49815216 is about 367.9487562547.

The spelling of 49815216 in words is "forty-nine million, eight hundred fifteen thousand, two hundred sixteen".