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8283205 = 57233809
BaseRepresentation
bin11111100110010001000101
3120120211102101
4133212101011
54110030310
6453312101
7130256200
oct37462105
916524371
108283205
114748327
122935631
131940308
141158937
15ad943a
hex7e6445

8283205 has 12 divisors (see below), whose sum is σ = 11563020. Its totient is φ = 5679744.

The previous prime is 8283203. The next prime is 8283217. The reversal of 8283205 is 5023828.

8283205 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3814209 + 4468996 = 1953^2 + 2114^2 .

It is not a de Polignac number, because 8283205 - 21 = 8283203 is a prime.

It is a super-2 number, since 2×82832052 = 137222970144050, which contains 22 as substring.

8283205 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8283203) 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, 16660 + ... + 17149.

It is an arithmetic number, because the mean of its divisors is an integer number (963585).

Almost surely, 28283205 is an apocalyptic number.

It is an amenable number.

8283205 is a deficient number, since it is larger than the sum of its proper divisors (3279815).

8283205 is a wasteful number, since it uses less digits than its factorization.

8283205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33828 (or 33821 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 8283205 is about 2878.0557673541. The cubic root of 8283205 is about 202.3327277902.

The spelling of 8283205 in words is "eight million, two hundred eighty-three thousand, two hundred five".

Divisors: 1 5 7 35 49 245 33809 169045 236663 1183315 1656641 8283205