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66256 = 2441101
BaseRepresentation
bin10000001011010000
310100212221
4100023100
54110011
61230424
7364111
oct201320
9110787
1066256
1145863
1232414
1324208
141a208
1514971
hex102d0

66256 has 20 divisors (see below), whose sum is σ = 132804. Its totient is φ = 32000.

The previous prime is 66239. The next prime is 66271. The reversal of 66256 is 65266.

Subtracting from 66256 its reverse (65266), we obtain a triangular number (990 = T44).

It can be written as a sum of positive squares in 2 ways, for example, as 33856 + 32400 = 184^2 + 180^2 .

Its product of digits (2160) is a multiple of the sum of its prime divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 66256.

It is a congruent number.

It is an unprimeable number.

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, 606 + ... + 706.

266256 is an apocalyptic number.

It is an amenable number.

66256 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (66402).

66256 is a wasteful number, since it uses less digits than its factorization.

66256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 144 counting only the distinct ones).

The product of its digits is 2160, while the sum is 25.

The square root of 66256 is about 257.4024086911. The cubic root of 66256 is about 40.4645831714.

The spelling of 66256 in words is "sixty-six thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 41 82 101 164 202 328 404 656 808 1616 4141 8282 16564 33128 66256