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41249106 = 23217163827
BaseRepresentation
bin1001110101011…
…0100101010010
32212121200010200
42131112211102
541024432411
64032040030
71010416533
oct235264522
985550120
1041249106
1121314078
1211993016
138713272
14569a68a
15394be56
hex2756952

41249106 has 48 divisors (see below), whose sum is σ = 95325984. Its totient is φ = 12845952.

The previous prime is 41249099. The next prime is 41249111. The reversal of 41249106 is 60194214.

41249106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 41249106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49465 + ... + 50291.

It is an arithmetic number, because the mean of its divisors is an integer number (1985958).

Almost surely, 241249106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41249106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47662992).

41249106 is an abundant number, since it is smaller than the sum of its proper divisors (54076878).

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

41249106 is a wasteful number, since it uses less digits than its factorization.

41249106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 41249106 is about 6422.5466911499. The cubic root of 41249106 is about 345.5186653539.

The spelling of 41249106 in words is "forty-one million, two hundred forty-nine thousand, one hundred six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 163 306 326 489 827 978 1467 1654 2481 2771 2934 4962 5542 7443 8313 14059 14886 16626 24939 28118 42177 49878 84354 126531 134801 253062 269602 404403 808806 1213209 2291617 2426418 4583234 6874851 13749702 20624553 41249106