47041632 has 144 divisors (see below), whose sum is σ = 150958080. Its totient is φ = 13766400.

The previous prime is 47041619. The next prime is 47041639. The reversal of 47041632 is 23614074.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 47041596 and 47041605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47041639) 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, 97969 + ... + 98447.

It is an arithmetic number, because the mean of its divisors is an integer number (1048320).

Almost surely, 2^47041632 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 47041632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75479040).

47041632 is an abundant number, since it is smaller than the sum of its proper divisors (103916448).

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

47041632 is a wasteful number, since it uses less digits than its factorization.

47041632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 47041632 is about 6858.6902539771. The cubic root of 47041632 is about 360.9891316367.

It can be divided in two parts, 4704 and 1632, that added together give a palindrome (6336).

The spelling of 47041632 in words is "forty-seven million, forty-one thousand, six hundred thirty-two".