Base | Representation |
---|---|
bin | 11110100111011100100000 |
3 | 120002202110010 |
4 | 132213130200 |
5 | 4023312023 |
6 | 444004520 |
7 | 125135043 |
oct | 36473440 |
9 | 16082403 |
10 | 8025888 |
11 | 4591a72 |
12 | 2830740 |
13 | 1880160 |
14 | 10ccc5a |
15 | a88093 |
hex | 7a7720 |
8025888 has 96 divisors (see below), whose sum is σ = 23284800. Its totient is φ = 2405376.
The previous prime is 8025883. The next prime is 8025893. The reversal of 8025888 is 8885208.
8025888 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.
It is a Cunningham number, because it is equal to 28332-1.
It is an interprime number because it is at equal distance from previous prime (8025883) and next prime (8025893).
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (39).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (8025881) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73578 + ... + 73686.
It is an arithmetic number, because the mean of its divisors is an integer number (242550).
Almost surely, 28025888 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 8025888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11642400).
8025888 is an abundant number, since it is smaller than the sum of its proper divisors (15258912).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8025888 is a wasteful number, since it uses less digits than its factorization.
8025888 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 194 (or 186 counting only the distinct ones).
The product of its (nonzero) digits is 40960, while the sum is 39.
The square root of 8025888 is about 2832.9998235086. Note that the first 3 decimals coincide. The cubic root of 8025888 is about 200.2155010464.
The spelling of 8025888 in words is "eight million, twenty-five thousand, eight hundred eighty-eight".
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