47821900 has 72 divisors (see below), whose sum is σ = 120929760. Its totient is φ = 16074240.

The previous prime is 47821883. The next prime is 47821909. The reversal of 47821900 is 912874.

47821900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×47821900² = 4573868239220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47821909) 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 23 ways as a sum of consecutive naturals, for example, 36456 + ... + 37744.

It is an arithmetic number, because the mean of its divisors is an integer number (1679580).

Almost surely, 2^47821900 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 47821900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60464880).

47821900 is an abundant number, since it is smaller than the sum of its proper divisors (73107860).

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

47821900 is a wasteful number, since it uses less digits than its factorization.

47821900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 47821900 is about 6915.3380249992. The cubic root of 47821900 is about 362.9740765233.

The spelling of 47821900 in words is "forty-seven million, eight hundred twenty-one thousand, nine hundred".