Base | Representation |
---|---|
bin | 100110101011111… |
… | …111001001010010 |
3 | 1200020022220212000 |
4 | 212223333021102 |
5 | 2312130040132 |
6 | 144223414430 |
7 | 22040650623 |
oct | 4653771122 |
9 | 1606286760 |
10 | 649065042 |
11 | 30342019a |
12 | 161454416 |
13 | a4617572 |
14 | 622b9a4a |
15 | 3beb087c |
hex | 26aff252 |
649065042 has 64 divisors (see below), whose sum is σ = 1567334400. Its totient is φ = 198346320.
The previous prime is 649065041. The next prime is 649065047. The reversal of 649065042 is 240560946.
649065042 is a `hidden beast` number, since 64 + 90 + 6 + 504 + 2 = 666.
It is a junction number, because it is equal to n+sod(n) for n = 649064988 and 649065006.
It is not an unprimeable number, because it can be changed into a prime (649065041) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21603 + ... + 42009.
It is an arithmetic number, because the mean of its divisors is an integer number (24489600).
Almost surely, 2649065042 is an apocalyptic number.
649065042 is a gapful number since it is divisible by the number (62) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 649065042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783667200).
649065042 is an abundant number, since it is smaller than the sum of its proper divisors (918269358).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
649065042 is a wasteful number, since it uses less digits than its factorization.
649065042 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 20468 (or 20462 counting only the distinct ones).
The product of its (nonzero) digits is 51840, while the sum is 36.
The square root of 649065042 is about 25476.7549346458. The cubic root of 649065042 is about 865.8235741563.
The spelling of 649065042 in words is "six hundred forty-nine million, sixty-five thousand, forty-two".
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