47138144 has 48 divisors (see below), whose sum is σ = 99692208. Its totient is φ = 21860352.

The previous prime is 47138141. The next prime is 47138153. The reversal of 47138144 is 44183174.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 47138144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47138141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39119 + ... + 40305.

It is an arithmetic number, because the mean of its divisors is an integer number (2076921).

Almost surely, 2^47138144 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 47138144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49846104).

47138144 is an abundant number, since it is smaller than the sum of its proper divisors (52554064).

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

47138144 is a wasteful number, since it uses less digits than its factorization.

47138144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1279 counting only the distinct ones).

The product of its digits is 10752, while the sum is 32.

The square root of 47138144 is about 6865.7223946210. The cubic root of 47138144 is about 361.2358349829.

The spelling of 47138144 in words is "forty-seven million, one hundred thirty-eight thousand, one hundred forty-four".