49242816 has 280 divisors, whose sum is σ = 177027840. Its totient is φ = 13229568.

The previous prime is 49242811. The next prime is 49242847. The reversal of 49242816 is 61824294.

49242816 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 a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (49242811) 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 39 ways as a sum of consecutive naturals, for example, 834595 + ... + 834653.

Almost surely, 2^49242816 is an apocalyptic number.

49242816 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49242816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88513920).

49242816 is an abundant number, since it is smaller than the sum of its proper divisors (127785024).

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

49242816 is a wasteful number, since it uses less digits than its factorization.

49242816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 94 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 49242816 is about 7017.3225663354. The cubic root of 49242816 is about 366.5340229119.

The spelling of 49242816 in words is "forty-nine million, two hundred forty-two thousand, eight hundred sixteen".