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8058 = 231779
BaseRepresentation
bin1111101111010
3102001110
41331322
5224213
6101150
732331
oct17572
912043
108058
116066
1247b6
13388b
142d18
1525c3
hex1f7a

8058 has 16 divisors (see below), whose sum is σ = 17280. Its totient is φ = 2496.

The previous prime is 8053. The next prime is 8059. The reversal of 8058 is 8508.

It is a super-3 number, since 3×80583 = 1569650793336, which contains 333 as substring.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (8053) by changing a digit.

8058 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63 + ... + 141.

It is an arithmetic number, because the mean of its divisors is an integer number (1080).

28058 is an apocalyptic number.

8058 is an abundant number, since it is smaller than the sum of its proper divisors (9222).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8640).

8058 is a wasteful number, since it uses less digits than its factorization.

8058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101.

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 8058 is about 89.7663634108. The cubic root of 8058 is about 20.0482169960.

The spelling of 8058 in words is "eight thousand, fifty-eight".

Divisors: 1 2 3 6 17 34 51 79 102 158 237 474 1343 2686 4029 8058