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8088 = 233337
BaseRepresentation
bin1111110011000
3102002120
41332120
5224323
6101240
732403
oct17630
912076
108088
116093
124820
1338b2
142d3a
1525e3
hex1f98

8088 has 16 divisors (see below), whose sum is σ = 20280. Its totient is φ = 2688.

The previous prime is 8087. The next prime is 8089. The reversal of 8088 is 8808.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8087) and next prime (8089).

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 337 = 8088 / (8 + 0 + 8 + 8).

8088 is a modest number, since divided by 88 gives 80 as remainder.

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 (8081) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 145 + ... + 192.

It is an amenable number.

8088 is an abundant number, since it is smaller than the sum of its proper divisors (12192).

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 (10140).

8088 is a wasteful number, since it uses less digits than its factorization.

8088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 8088 is about 89.9333086237. The cubic root of 8088 is about 20.0730660757.

The spelling of 8088 in words is "eight thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 24 337 674 1011 1348 2022 2696 4044 8088