Base | Representation |
---|---|
bin | 1010001010010… |
… | …00000000000000 |
3 | 12221101002222200 |
4 | 11011020000000 |
5 | 133304321233 |
6 | 12242433200 |
7 | 2053303464 |
oct | 505100000 |
9 | 187332880 |
10 | 85229568 |
11 | 44123266 |
12 | 24662800 |
13 | 148717c8 |
14 | b4684a4 |
15 | 7738313 |
hex | 5148000 |
85229568 has 144 divisors (see below), whose sum is σ = 261550185. Its totient is φ = 26738688.
The previous prime is 85229567. The next prime is 85229581. The reversal of 85229568 is 86592258.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
85229568 is a `hidden beast` number, since 85 + 2 + 2 + 9 + 568 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 78004224 + 7225344 = 8832^2 + 2688^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is an ABA number since it can be written as A⋅BA, here for A=2, B=6528.
It is a super-2 number, since 2×852295682 = 14528158522933248, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (85229563) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5013496 + ... + 5013512.
Almost surely, 285229568 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 85229568
85229568 is an abundant number, since it is smaller than the sum of its proper divisors (176320617).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
85229568 is an equidigital number, since it uses as much as digits as its factorization.
85229568 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 70 (or 22 counting only the distinct ones).
The product of its digits is 345600, while the sum is 45.
The square root of 85229568 is about 9231.9861351716. The cubic root of 85229568 is about 440.0784433145.
The spelling of 85229568 in words is "eighty-five million, two hundred twenty-nine thousand, five hundred sixty-eight".
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