49909824 has 112 divisors (see below), whose sum is σ = 155448000. Its totient is φ = 15648768.

The previous prime is 49909823. The next prime is 49909889. The reversal of 49909824 is 42890994.

It is a self number, because there is not a number n which added to its sum of digits gives 49909824.

It is not an unprimeable number, because it can be changed into a prime (49909823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28527 + ... + 30225.

Almost surely, 2^49909824 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 49909824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77724000).

49909824 is an abundant number, since it is smaller than the sum of its proper divisors (105538176).

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

49909824 is a wasteful number, since it uses less digits than its factorization.

49909824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 49909824 is about 7064.6885281660. The cubic root of 49909824 is about 368.1815424365.

The spelling of 49909824 in words is "forty-nine million, nine hundred nine thousand, eight hundred twenty-four".