Search a number
-
+
8092 = 227172
BaseRepresentation
bin1111110011100
3102002201
41332130
5224332
6101244
732410
oct17634
912081
108092
116097
124824
1338b6
142d40
1525e7
hex1f9c

8092 has 18 divisors (see below), whose sum is σ = 17192. Its totient is φ = 3264.

The previous prime is 8089. The next prime is 8093. The reversal of 8092 is 2908.

Subtracting from 8092 its reverse (2908), we obtain a square (5184 = 722).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8093) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 468 + ... + 484.

8092 is a Friedman number, since it can be written as 90^2-8, using all its digits and the basic arithmetic operations.

28092 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 8092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8596).

8092 is an abundant number, since it is smaller than the sum of its proper divisors (9100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8092 is a wasteful number, since it uses less digits than its factorization.

8092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 8092 is about 89.9555445762. The cubic root of 8092 is about 20.0763746411.

The spelling of 8092 in words is "eight thousand, ninety-two".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 289 476 578 1156 2023 4046 8092