49038900 has 72 divisors (see below), whose sum is σ = 146490624. Its totient is φ = 12652800.

The previous prime is 49038893. The next prime is 49038917. The reversal of 49038900 is 983094.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6664 + ... + 11936.

It is an arithmetic number, because the mean of its divisors is an integer number (2034592).

Almost surely, 2^49038900 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 49038900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73245312).

49038900 is an abundant number, since it is smaller than the sum of its proper divisors (97451724).

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

49038900 is a wasteful number, since it uses less digits than its factorization.

49038900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5321 (or 5314 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 49038900 is about 7002.7780201860. The cubic root of 49038900 is about 366.0273800771.

The spelling of 49038900 in words is "forty-nine million, thirty-eight thousand, nine hundred".