47633900 has 36 divisors (see below), whose sum is σ = 104837040. Its totient is φ = 18782400.

The previous prime is 47633899. The next prime is 47633917. The reversal of 47633900 is 933674.

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, 3746 + ... + 10454.

It is an arithmetic number, because the mean of its divisors is an integer number (2912140).

Almost surely, 2^47633900 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 47633900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52418520).

47633900 is an abundant number, since it is smaller than the sum of its proper divisors (57203140).

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

47633900 is a wasteful number, since it uses less digits than its factorization.

47633900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6794 (or 6787 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 32.

The square root of 47633900 is about 6901.7316667631. The cubic root of 47633900 is about 362.4978041880.

The spelling of 47633900 in words is "forty-seven million, six hundred thirty-three thousand, nine hundred".