47641100 has 54 divisors (see below), whose sum is σ = 111985020. Its totient is φ = 17584320.

The previous prime is 47641081. The next prime is 47641103. The reversal of 47641100 is 114674.

47641100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (47641103) 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, 15491 + ... + 18309.

Almost surely, 2^47641100 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 47641100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55992510).

47641100 is an abundant number, since it is smaller than the sum of its proper divisors (64343920).

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

47641100 is a wasteful number, since it uses less digits than its factorization.

47641100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2859 (or 2839 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 47641100 is about 6902.2532552783. The cubic root of 47641100 is about 362.5160674606.

Adding to 47641100 its reverse (114674), we get a palindrome (47755774).

The spelling of 47641100 in words is "forty-seven million, six hundred forty-one thousand, one hundred".