49578816 has 112 divisors (see below), whose sum is σ = 154123136. Its totient is φ = 13768704.

The previous prime is 49578811. The next prime is 49578833. The reversal of 49578816 is 61887594.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49578811) 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, 49230 + ... + 50226.

Almost surely, 2^49578816 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 49578816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77061568).

49578816 is an abundant number, since it is smaller than the sum of its proper divisors (104544320).

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

49578816 is a wasteful number, since it uses less digits than its factorization.

49578816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1046 counting only the distinct ones).

The product of its digits is 483840, while the sum is 48.

The square root of 49578816 is about 7041.2226211078. Note that the first 3 decimals coincide. The cubic root of 49578816 is about 367.3657948577.

The spelling of 49578816 in words is "forty-nine million, five hundred seventy-eight thousand, eight hundred sixteen".