Base | Representation |
---|---|
bin | 1011011000010… |
… | …1000110100000 |
3 | 10022210222202200 |
4 | 2312011012200 |
5 | 44204343404 |
6 | 4423013200 |
7 | 1116464511 |
oct | 266050640 |
9 | 108728680 |
10 | 47731104 |
11 | 24a410a3 |
12 | 13b9a200 |
13 | 9b72775 |
14 | 64a6a08 |
15 | 42cc839 |
hex | 2d851a0 |
47731104 has 72 divisors (see below), whose sum is σ = 143734500. Its totient is φ = 14972928.
The previous prime is 47731069. The next prime is 47731109. The reversal of 47731104 is 40113774.
It can be written as a sum of positive squares in 2 ways, for example, as 47610000 + 121104 = 6900^2 + 348^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is not an unprimeable number, because it can be changed into a prime (47731109) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22 + ... + 9770.
Almost surely, 247731104 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 47731104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71867250).
47731104 is an abundant number, since it is smaller than the sum of its proper divisors (96003396).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47731104 is a wasteful number, since it uses less digits than its factorization.
47731104 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9782 (or 9771 counting only the distinct ones).
The product of its (nonzero) digits is 2352, while the sum is 27.
The square root of 47731104 is about 6908.7700786754. The cubic root of 47731104 is about 362.7442134011.
Adding to 47731104 its reverse (40113774), we get a palindrome (87844878).
The spelling of 47731104 in words is "forty-seven million, seven hundred thirty-one thousand, one hundred four".
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