47824896 has 120 divisors (see below), whose sum is σ = 146796160. Its totient is φ = 13565952.

The previous prime is 47824891. The next prime is 47824913. The reversal of 47824896 is 69842874.

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 (47824891) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 343995 + ... + 344133.

Almost surely, 2^47824896 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 47824896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73398080).

47824896 is an abundant number, since it is smaller than the sum of its proper divisors (98971264).

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

47824896 is an equidigital number, since it uses as much as digits as its factorization.

47824896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 151 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The square root of 47824896 is about 6915.5546415309. The cubic root of 47824896 is about 362.9816563673.

The spelling of 47824896 in words is "forty-seven million, eight hundred twenty-four thousand, eight hundred ninety-six".