Base | Representation |
---|---|
bin | 10001000010011… |
… | …110100000000000 |
3 | 201220220021210100 |
4 | 101002132200000 |
5 | 1041140040023 |
6 | 44211002400 |
7 | 10040533404 |
oct | 2102364000 |
9 | 656807710 |
10 | 285861888 |
11 | 1373a82a4 |
12 | 7b899400 |
13 | 472ba860 |
14 | 29d73104 |
15 | 1a169c43 |
hex | 1109e800 |
285861888 has 144 divisors (see below), whose sum is σ = 889876260. Its totient is φ = 87883776.
The previous prime is 285861883. The next prime is 285861929. The reversal of 285861888 is 888168582.
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 275825664 + 10036224 = 16608^2 + 3168^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (285861883) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 239020 + ... + 240212.
Almost surely, 2285861888 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 285861888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444938130).
285861888 is an abundant number, since it is smaller than the sum of its proper divisors (604014372).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
285861888 is a wasteful number, since it uses less digits than its factorization.
285861888 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1234 (or 1211 counting only the distinct ones).
The product of its digits is 1966080, while the sum is 54.
The square root of 285861888 is about 16907.4506653132. The cubic root of 285861888 is about 658.7471549721.
It can be divided in two parts, 2858 and 61888, that added together give a palindrome (64746).
The spelling of 285861888 in words is "two hundred eighty-five million, eight hundred sixty-one thousand, eight hundred eighty-eight".
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