49981824 has 96 divisors (see below), whose sum is σ = 147318600. Its totient is φ = 16257024.

The previous prime is 49981823. The next prime is 49981861. The reversal of 49981824 is 42818994.

49981824 is a `hidden beast` number, since 499 + 81 + 82 + 4 = 666.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 49981824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49981823) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49032 + ... + 50040.

Almost surely, 2^49981824 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 49981824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73659300).

49981824 is an abundant number, since it is smaller than the sum of its proper divisors (97336776).

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

49981824 is a wasteful number, since it uses less digits than its factorization.

49981824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1057 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 49981824 is about 7069.7824577564. The cubic root of 49981824 is about 368.3585038160.

It can be divided in two parts, 49981 and 824, that added together give a palindrome (50805).

The spelling of 49981824 in words is "forty-nine million, nine hundred eighty-one thousand, eight hundred twenty-four".