Base | Representation |
---|---|
bin | 111111101110101100000 |
3 | 10221002121000 |
4 | 13331311200 |
5 | 1013311123 |
6 | 112432000 |
7 | 23515206 |
oct | 7756540 |
9 | 3832530 |
10 | 2088288 |
11 | 11a6a64 |
12 | 848600 |
13 | 581697 |
14 | 3c5076 |
15 | 2b3b43 |
hex | 1fdd60 |
2088288 has 48 divisors (see below), whose sum is σ = 6093360. Its totient is φ = 695808.
The previous prime is 2088287. The next prime is 2088293. The reversal of 2088288 is 8828802.
It is a tau number, because it is divible by the number of its divisors (48).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2088287) 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 7 ways as a sum of consecutive naturals, for example, 345 + ... + 2072.
It is an arithmetic number, because the mean of its divisors is an integer number (126945).
22088288 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 2088288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3046680).
2088288 is an abundant number, since it is smaller than the sum of its proper divisors (4005072).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2088288 is a wasteful number, since it uses less digits than its factorization.
2088288 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2436 (or 2422 counting only the distinct ones).
The product of its (nonzero) digits is 16384, while the sum is 36.
The square root of 2088288 is about 1445.0910005948. The cubic root of 2088288 is about 127.8194067820.
The spelling of 2088288 in words is "two million, eighty-eight thousand, two hundred eighty-eight".
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