47838144 has 112 divisors (see below), whose sum is σ = 133136640. Its totient is φ = 15144960.

The previous prime is 47838121. The next prime is 47838149. The reversal of 47838144 is 44183874.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47838149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 464397 + ... + 464499.

It is an arithmetic number, because the mean of its divisors is an integer number (1188720).

Almost surely, 2^47838144 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 47838144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66568320).

47838144 is an abundant number, since it is smaller than the sum of its proper divisors (85298496).

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

47838144 is a wasteful number, since it uses less digits than its factorization.

47838144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 208 counting only the distinct ones).

The product of its digits is 86016, while the sum is 39.

The square root of 47838144 is about 6916.5124159507. The cubic root of 47838144 is about 363.0151698538.

The spelling of 47838144 in words is "forty-seven million, eight hundred thirty-eight thousand, one hundred forty-four".