47444144 has 80 divisors (see below), whose sum is σ = 107912736. Its totient is φ = 19968000.

The previous prime is 47444119. The next prime is 47444149. The reversal of 47444144 is 44144474.

47444144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 47444144.

It is not an unprimeable number, because it can be changed into a prime (47444149) 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 15 ways as a sum of consecutive naturals, for example, 302114 + ... + 302270.

Almost surely, 2^47444144 is an apocalyptic number.

47444144 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 47444144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53956368).

47444144 is an abundant number, since it is smaller than the sum of its proper divisors (60468592).

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

47444144 is a wasteful number, since it uses less digits than its factorization.

47444144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 288 counting only the distinct ones).

The product of its digits is 28672, while the sum is 32.

The square root of 47444144 is about 6887.9709639342. The cubic root of 47444144 is about 362.0158107926.

It can be divided in two parts, 4744 and 4144, that added together give a palindrome (8888).

The spelling of 47444144 in words is "forty-seven million, four hundred forty-four thousand, one hundred forty-four".