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41256 = 2333191
BaseRepresentation
bin1010000100101000
32002121000
422010220
52310011
6515000
7231165
oct120450
962530
1041256
1128aa6
121ba60
1315a17
141106c
15c356
hexa128

41256 has 32 divisors (see below), whose sum is σ = 115200. Its totient is φ = 13680.

The previous prime is 41243. The next prime is 41257. The reversal of 41256 is 65214.

It is a happy number.

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

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 41256.

It is not an unprimeable number, because it can be changed into a prime (41257) by changing a digit.

41256 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 121 + ... + 311.

It is an arithmetic number, because the mean of its divisors is an integer number (3600).

241256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57600).

41256 is an abundant number, since it is smaller than the sum of its proper divisors (73944).

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

41256 is a wasteful number, since it uses less digits than its factorization.

41256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 196 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 41256 is about 203.1157305577. The cubic root of 41256 is about 34.5537913230.

The spelling of 41256 in words is "forty-one thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 191 216 382 573 764 1146 1528 1719 2292 3438 4584 5157 6876 10314 13752 20628 41256