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8284 = 2219109
BaseRepresentation
bin10000001011100
3102100211
42001130
5231114
6102204
733103
oct20134
912324
108284
116251
124964
133a03
14303a
1526c4
hex205c

8284 has 12 divisors (see below), whose sum is σ = 15400. Its totient is φ = 3888.

The previous prime is 8273. The next prime is 8287. The reversal of 8284 is 4828.

8284 = T31 + T32 + ... + T42.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8287) by changing a digit.

8284 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 22 + ... + 130.

28284 is an apocalyptic number.

It is an amenable number.

8284 is a deficient number, since it is larger than the sum of its proper divisors (7116).

8284 is a wasteful number, since it uses less digits than its factorization.

8284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 130 counting only the distinct ones).

The product of its digits is 512, while the sum is 22.

The square root of 8284 is about 91.0164820239. The cubic root of 8284 is about 20.2339200702.

It can be divided in two parts, 8 and 284, that added together give a palindrome (292).

The spelling of 8284 in words is "eight thousand, two hundred eighty-four".

Divisors: 1 2 4 19 38 76 109 218 436 2071 4142 8284