Base | Representation |
---|---|
bin | 1001101000100010… |
… | …1101000100110010 |
3 | 20200012222001010100 |
4 | 2122020231010302 |
5 | 20244002114132 |
6 | 1104334213230 |
7 | 121040260002 |
oct | 23210550462 |
9 | 6605861110 |
10 | 2585973042 |
11 | 1107794904 |
12 | 602054216 |
13 | 3229a1483 |
14 | 1a7630002 |
15 | 10205e37c |
hex | 9a22d132 |
2585973042 has 24 divisors (see below), whose sum is σ = 5617070316. Its totient is φ = 859817376.
The previous prime is 2585973023. The next prime is 2585973043. The reversal of 2585973042 is 2403795852.
2585973042 is a `hidden beast` number, since 2 + 58 + 597 + 3 + 0 + 4 + 2 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 2124195921 + 461777121 = 46089^2 + 21489^2 .
It is not an unprimeable number, because it can be changed into a prime (2585973043) 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 11 ways as a sum of consecutive naturals, for example, 173793 + ... + 188084.
Almost surely, 22585973042 is an apocalyptic number.
2585973042 is an abundant number, since it is smaller than the sum of its proper divisors (3031097274).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2585973042 is a wasteful number, since it uses less digits than its factorization.
2585973042 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 362282 (or 362279 counting only the distinct ones).
The product of its (nonzero) digits is 604800, while the sum is 45.
The square root of 2585973042 is about 50852.4634801501. The cubic root of 2585973042 is about 1372.5915819726.
The spelling of 2585973042 in words is "two billion, five hundred eighty-five million, nine hundred seventy-three thousand, forty-two".
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