49983072 has 96 divisors (see below), whose sum is σ = 140515200. Its totient is φ = 15510528.

The previous prime is 49983061. The next prime is 49983079. The reversal of 49983072 is 27038994.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49983079) 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, 122004 + ... + 122412.

It is an arithmetic number, because the mean of its divisors is an integer number (1463700).

Almost surely, 2^49983072 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 49983072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70257600).

49983072 is an abundant number, since it is smaller than the sum of its proper divisors (90532128).

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

49983072 is a wasteful number, since it uses less digits than its factorization.

49983072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 49983072 is about 7069.8707201759. The cubic root of 49983072 is about 368.3615696477.

The spelling of 49983072 in words is "forty-nine million, nine hundred eighty-three thousand, seventy-two".