Base | Representation |
---|---|
bin | 100010110111111… |
… | …111101010000100 |
3 | 1111202222100210200 |
4 | 202313333222010 |
5 | 2144241312004 |
6 | 134020450500 |
7 | 20333205402 |
oct | 4267775204 |
9 | 1452870720 |
10 | 585104004 |
11 | 280304331 |
12 | 143b49a30 |
13 | 942b16b4 |
14 | 579ca472 |
15 | 36579239 |
hex | 22dffa84 |
585104004 has 18 divisors (see below), whose sum is σ = 1479012990. Its totient is φ = 195034656.
The previous prime is 585103999. The next prime is 585104017. The reversal of 585104004 is 400401585.
It can be written as a sum of positive squares in only one way, i.e., 476985600 + 108118404 = 21840^2 + 10398^2 .
It is a tau number, because it is divible by the number of its divisors (18).
It is an unprimeable number.
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 5 ways as a sum of consecutive naturals, for example, 8126409 + ... + 8126480.
Almost surely, 2585104004 is an apocalyptic number.
It is an amenable number.
585104004 is an abundant number, since it is smaller than the sum of its proper divisors (893908986).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
585104004 is a wasteful number, since it uses less digits than its factorization.
585104004 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 16252899 (or 16252894 counting only the distinct ones).
The product of its (nonzero) digits is 3200, while the sum is 27.
The square root of 585104004 is about 24188.9231674335. The cubic root of 585104004 is about 836.3942208713.
Adding to 585104004 its reverse (400401585), we get a palindrome (985505589).
The spelling of 585104004 in words is "five hundred eighty-five million, one hundred four thousand, four".
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