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41208 = 23317101
BaseRepresentation
bin1010000011111000
32002112020
422003320
52304313
6514440
7231066
oct120370
962466
1041208
1128a62
121ba20
13159ab
1411036
15c323
hexa0f8

41208 has 32 divisors (see below), whose sum is σ = 110160. Its totient is φ = 12800.

The previous prime is 41203. The next prime is 41213. The reversal of 41208 is 80214.

It is a Cunningham number, because it is equal to 2032-1.

It is an interprime number because it is at equal distance from previous prime (41203) and next prime (41213).

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41201) by changing a digit.

41208 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 358 + ... + 458.

241208 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 41208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55080).

41208 is an abundant number, since it is smaller than the sum of its proper divisors (68952).

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

41208 is a wasteful number, since it uses less digits than its factorization.

41208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 41208 is about 202.9975369309. The cubic root of 41208 is about 34.5403853890.

The spelling of 41208 in words is "forty-one thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 101 102 136 202 204 303 404 408 606 808 1212 1717 2424 3434 5151 6868 10302 13736 20604 41208