47891800 has 72 divisors (see below), whose sum is σ = 122453100. Its totient is φ = 17406400.

The previous prime is 47891749. The next prime is 47891803. The reversal of 47891800 is 819874.

47891800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 47891800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47891803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 23211 + ... + 25189.

Almost surely, 2^47891800 is an apocalyptic number.

47891800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47891800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61226550).

47891800 is an abundant number, since it is smaller than the sum of its proper divisors (74561300).

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

47891800 is a wasteful number, since it uses less digits than its factorization.

47891800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2017 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The square root of 47891800 is about 6920.3901624114. The cubic root of 47891800 is about 363.1508402805.

The spelling of 47891800 in words is "forty-seven million, eight hundred ninety-one thousand, eight hundred".