Base | Representation |
---|---|
bin | 1011001111110… |
… | …0000111010000 |
3 | 10021202111002001 |
4 | 2303330013100 |
5 | 44033420000 |
6 | 4403003344 |
7 | 1111636603 |
oct | 263740720 |
9 | 107674061 |
10 | 47170000 |
11 | 24698579 |
12 | 13969554 |
13 | 9a07257 |
14 | 639c33a |
15 | 421b46a |
hex | 2cfc1d0 |
47170000 has 100 divisors (see below), whose sum is σ = 117665460. Its totient is φ = 18304000.
The previous prime is 47169949. The next prime is 47170009. The reversal of 47170000 is 7174.
47170000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 10 ways, for example, as 38241856 + 8928144 = 6184^2 + 2988^2 .
It is a tau number, because it is divible by the number of its divisors (100).
It is a self number, because there is not a number n which added to its sum of digits gives 47170000.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (47170009) 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 19 ways as a sum of consecutive naturals, for example, 529956 + ... + 530044.
Almost surely, 247170000 is an apocalyptic number.
47170000 is a gapful number since it is divisible by the number (40) 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 47170000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58832730).
47170000 is an abundant number, since it is smaller than the sum of its proper divisors (70495460).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47170000 is an equidigital number, since it uses as much as digits as its factorization.
47170000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 170 (or 149 counting only the distinct ones).
The product of its (nonzero) digits is 196, while the sum is 19.
The square root of 47170000 is about 6868.0419334771. The cubic root of 47170000 is about 361.3171911593.
Adding to 47170000 its reverse (7174), we get a palindrome (47177174).
The spelling of 47170000 in words is "forty-seven million, one hundred seventy thousand".
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