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41223006 = 235112701
BaseRepresentation
bin1001110101000…
…0001101011110
32212120100100000
42131100031132
541023114011
64031315130
71010250456
oct235201536
985510300
1041223006
11212a6500
121197baa6
138704416
145690d66
153944356
hex275035e

41223006 has 72 divisors (see below), whose sum is σ = 101955672. Its totient is φ = 12474000.

The previous prime is 41223001. The next prime is 41223031. The reversal of 41223006 is 60032214.

It is a happy number.

41223006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 41223006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41223001) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 58456 + ... + 59156.

It is an arithmetic number, because the mean of its divisors is an integer number (1416051).

Almost surely, 241223006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41223006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50977836).

41223006 is an abundant number, since it is smaller than the sum of its proper divisors (60732666).

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

41223006 is a wasteful number, since it uses less digits than its factorization.

41223006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 41223006 is about 6420.5144653680. The cubic root of 41223006 is about 345.4457753712.

The spelling of 41223006 in words is "forty-one million, two hundred twenty-three thousand, six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 121 162 198 242 243 297 363 486 594 701 726 891 1089 1402 1782 2103 2178 2673 3267 4206 5346 6309 6534 7711 9801 12618 15422 18927 19602 23133 29403 37854 46266 56781 58806 69399 84821 113562 138798 169642 170343 208197 254463 340686 416394 508926 624591 763389 1249182 1526778 1873773 2290167 3747546 4580334 6870501 13741002 20611503 41223006