Base | Representation |
---|---|
bin | 1000101011100… |
… | …1000111110010 |
3 | 2112111210220200 |
4 | 2022321013302 |
5 | 33310103332 |
6 | 3340220030 |
7 | 621323100 |
oct | 212710762 |
9 | 75453820 |
10 | 36409842 |
11 | 19609287 |
12 | 1023a616 |
13 | 770a6b1 |
14 | 4b9ac70 |
15 | 32e317c |
hex | 22b91f2 |
36409842 has 36 divisors (see below), whose sum is σ = 91769886. Its totient is φ = 10402560.
The previous prime is 36409837. The next prime is 36409847. The reversal of 36409842 is 24890463.
It is a happy number.
36409842 is a `hidden beast` number, since 3 + 640 + 9 + 8 + 4 + 2 = 666.
36409842 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (36409837) and next prime (36409847).
It can be written as a sum of positive squares in only one way, i.e., 31911201 + 4498641 = 5649^2 + 2121^2 .
It is a junction number, because it is equal to n+sod(n) for n = 36409797 and 36409806.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (36409847) 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 17 ways as a sum of consecutive naturals, for example, 19759 + ... + 21522.
Almost surely, 236409842 is an apocalyptic number.
36409842 is an abundant number, since it is smaller than the sum of its proper divisors (55360044).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36409842 is a wasteful number, since it uses less digits than its factorization.
36409842 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 41303 (or 41293 counting only the distinct ones).
The product of its (nonzero) digits is 41472, while the sum is 36.
The square root of 36409842 is about 6034.0568442798. The cubic root of 36409842 is about 331.4410260700.
The spelling of 36409842 in words is "thirty-six million, four hundred nine thousand, eight hundred forty-two".
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