Base | Representation |
---|---|
bin | 1111111001001000000000 |
3 | 21211122212122 |
4 | 33321020000 |
5 | 2031304034 |
6 | 225143412 |
7 | 50261123 |
oct | 17711000 |
9 | 7748778 |
10 | 4166144 |
11 | 23960a4 |
12 | 148ab68 |
13 | b2b398 |
14 | 7a63ba |
15 | 57462e |
hex | 3f9200 |
4166144 has 40 divisors (see below), whose sum is σ = 8511360. Its totient is φ = 2036736.
The previous prime is 4166143. The next prime is 4166147. The reversal of 4166144 is 4416614.
It is a super-4 number, since 4×41661444 (a number of 28 digits) contains 4444 as substring.
It is not an unprimeable number, because it can be changed into a prime (4166143) by changing a digit.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40397 + ... + 40499.
It is an arithmetic number, because the mean of its divisors is an integer number (212784).
Almost surely, 24166144 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 4166144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4255680).
4166144 is an abundant number, since it is smaller than the sum of its proper divisors (4345216).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4166144 is an equidigital number, since it uses as much as digits as its factorization.
4166144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 200 (or 184 counting only the distinct ones).
The product of its digits is 2304, while the sum is 26.
The square root of 4166144 is about 2041.1134216403. The cubic root of 4166144 is about 160.9081687647.
The spelling of 4166144 in words is "four million, one hundred sixty-six thousand, one hundred forty-four".
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