49938336 has 192 divisors, whose sum is σ = 174182400. Its totient is φ = 13609728.

The previous prime is 49938331. The next prime is 49938337. The reversal of 49938336 is 63383994.

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

It is a junction number, because it is equal to n+sod(n) for n = 49938291 and 49938300.

It is not an unprimeable number, because it can be changed into a prime (49938331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138925 + ... + 139283.

It is an arithmetic number, because the mean of its divisors is an integer number (907200).

Almost surely, 2^49938336 is an apocalyptic number.

49938336 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 49938336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87091200).

49938336 is an abundant number, since it is smaller than the sum of its proper divisors (124244064).

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

49938336 is a wasteful number, since it uses less digits than its factorization.

49938336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 394 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 49938336 is about 7066.7061634116. The cubic root of 49938336 is about 368.2516394832.

The spelling of 49938336 in words is "forty-nine million, nine hundred thirty-eight thousand, three hundred thirty-six".