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6528 = 27317
BaseRepresentation
bin1100110000000
322221210
41212000
5202103
650120
725014
oct14600
98853
106528
1149a5
123940
132c82
142544
151e03
hex1980

6528 has 32 divisors (see below), whose sum is σ = 18360. Its totient is φ = 2048.

The previous prime is 6521. The next prime is 6529. The reversal of 6528 is 8256.

Subtracting 6528 from its reverse (8256), we obtain a cube (1728 = 123).

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×65282 = 85229568, which contains 22 as substring.

It is a nialpdrome in base 9.

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 (6521) by changing a digit.

6528 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

In principle, a polygon with 6528 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 376 + ... + 392.

6528 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9180).

6528 is an abundant number, since it is smaller than the sum of its proper divisors (11832).

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

6528 is a wasteful number, since it uses less digits than its factorization.

6528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34 (or 22 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 6528 is about 80.7960395069. The cubic root of 6528 is about 18.6893149134.

The spelling of 6528 in words is "six thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1632 2176 3264 6528