49145824 has 72 divisors (see below), whose sum is σ = 121260888. Its totient is φ = 19434240.

The previous prime is 49145801. The next prime is 49145843. The reversal of 49145824 is 42854194.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19179 + ... + 21589.

It is an arithmetic number, because the mean of its divisors is an integer number (1684179).

Almost surely, 2^49145824 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 49145824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60630444).

49145824 is an abundant number, since it is smaller than the sum of its proper divisors (72115064).

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

49145824 is a wasteful number, since it uses less digits than its factorization.

49145824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2448 (or 2433 counting only the distinct ones).

The product of its digits is 46080, while the sum is 37.

The square root of 49145824 is about 7010.4082620059. The cubic root of 49145824 is about 366.2932146238.

The spelling of 49145824 in words is "forty-nine million, one hundred forty-five thousand, eight hundred twenty-four".