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8029 = 73137
BaseRepresentation
bin1111101011101
3102000101
41331131
5224104
6101101
732260
oct17535
912011
108029
11603a
124791
133868
142cd7
1525a4
hex1f5d

8029 has 8 divisors (see below), whose sum is σ = 9728. Its totient is φ = 6480.

The previous prime is 8017. The next prime is 8039. The reversal of 8029 is 9208.

8029 is nontrivially palindromic in base 6.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 8029 - 27 = 7901 is a prime.

It is a magnanimous number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 7997 and 8015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 199 + ... + 235.

It is an arithmetic number, because the mean of its divisors is an integer number (1216).

28029 is an apocalyptic number.

It is an amenable number.

8029 is a deficient number, since it is larger than the sum of its proper divisors (1699).

8029 is a wasteful number, since it uses less digits than its factorization.

8029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75.

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

The square root of 8029 is about 89.6046873774. The cubic root of 8029 is about 20.0241375239.

The spelling of 8029 in words is "eight thousand, twenty-nine".

Divisors: 1 7 31 37 217 259 1147 8029