47745100 has 72 divisors (see below), whose sum is σ = 117509840. Its totient is φ = 16692480.

The previous prime is 47745097. The next prime is 47745109. The reversal of 47745100 is 154774.

It is not an unprimeable number, because it can be changed into a prime (47745109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23734 + ... + 25666.

Almost surely, 2^47745100 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 47745100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58754920).

47745100 is an abundant number, since it is smaller than the sum of its proper divisors (69764740).

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

47745100 is a wasteful number, since it uses less digits than its factorization.

47745100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1979 (or 1972 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 28.

The square root of 47745100 is about 6909.7829198897. The cubic root of 47745100 is about 362.7796652794.

Adding to 47745100 its reverse (154774), we get a palindrome (47899874).

The spelling of 47745100 in words is "forty-seven million, seven hundred forty-five thousand, one hundred".