47730144 has 144 divisors (see below), whose sum is σ = 157659264. Its totient is φ = 12376320.

The previous prime is 47730139. The next prime is 47730161. The reversal of 47730144 is 44103774.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81019 + ... + 81605.

It is an arithmetic number, because the mean of its divisors is an integer number (1094856).

Almost surely, 2^47730144 is an apocalyptic number.

47730144 is a gapful number since it is divisible by the number (44) 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 47730144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78829632).

47730144 is an abundant number, since it is smaller than the sum of its proper divisors (109929120).

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

47730144 is a wasteful number, since it uses less digits than its factorization.

47730144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 47730144 is about 6908.7006014156. The cubic root of 47730144 is about 362.7417814665.

It can be divided in two parts, 47730 and 144, that added together give a palindrome (47874).

The spelling of 47730144 in words is "forty-seven million, seven hundred thirty thousand, one hundred forty-four".