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6552 = 2332713
BaseRepresentation
bin1100110011000
322222200
41212120
5202202
650200
725050
oct14630
98880
106552
114a17
123960
132ca0
142560
151e1c
hex1998

6552 has 48 divisors (see below), whose sum is σ = 21840. Its totient is φ = 1728.

The previous prime is 6551. The next prime is 6553. The reversal of 6552 is 2556.

6552 is nontrivially palindromic in base 5.

It is an interprime number because it is at equal distance from previous prime (6551) and next prime (6553).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

Its product of digits (300) is a multiple of the sum of its prime divisors (25).

It is a nialpdrome in base 3, base 9 and base 10.

It is a zygodrome in base 2 and base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6551) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 498 + ... + 510.

It is an arithmetic number, because the mean of its divisors is an integer number (455).

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10920).

6552 is an abundant number, since it is smaller than the sum of its proper divisors (15288).

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

6552 is a wasteful number, since it uses less digits than its factorization.

6552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32 (or 25 counting only the distinct ones).

The product of its digits is 300, while the sum is 18.

The square root of 6552 is about 80.9444253794. The cubic root of 6552 is about 18.7121904747.

The spelling of 6552 in words is "six thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2184 3276 6552