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65652 = 2235471
BaseRepresentation
bin10000000001110100
310100001120
4100001310
54100102
61223540
7362256
oct200164
9110046
1065652
1145364
1231bb0
1323b62
1419cd6
15146bc
hex10074

65652 has 12 divisors (see below), whose sum is σ = 153216. Its totient is φ = 21880.

The previous prime is 65651. The next prime is 65657. The reversal of 65652 is 25656.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between even and odd.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2724 + ... + 2747.

It is an arithmetic number, because the mean of its divisors is an integer number (12768).

265652 is an apocalyptic number.

It is an amenable number.

65652 is an abundant number, since it is smaller than the sum of its proper divisors (87564).

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 (76608).

65652 is a wasteful number, since it uses less digits than its factorization.

65652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5478 (or 5476 counting only the distinct ones).

The product of its digits is 1800, while the sum is 24.

The square root of 65652 is about 256.2264623336. The cubic root of 65652 is about 40.3412471475.

It can be divided in two parts, 65 and 652, that added together give a palindrome (717).

The spelling of 65652 in words is "sixty-five thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 12 5471 10942 16413 21884 32826 65652