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41768082 = 23317173263
BaseRepresentation
bin1001111101010…
…1010010010010
32220121001001000
42133111102102
541143034312
64051122430
71015010556
oct237252222
986531030
1041768082
1121638a84
1211ba3416
138865555
145793866
153a00adc
hex27d5492

41768082 has 64 divisors (see below), whose sum is σ = 99221760. Its totient is φ = 12978432.

The previous prime is 41768063. The next prime is 41768087. The reversal of 41768082 is 28086714.

41768082 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (41768087) 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 31 ways as a sum of consecutive naturals, for example, 158683 + ... + 158945.

It is an arithmetic number, because the mean of its divisors is an integer number (1550340).

Almost surely, 241768082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41768082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49610880).

41768082 is an abundant number, since it is smaller than the sum of its proper divisors (57453678).

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

41768082 is a wasteful number, since it uses less digits than its factorization.

41768082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 41768082 is about 6462.8230673600. The cubic root of 41768082 is about 346.9616791418.

The spelling of 41768082 in words is "forty-one million, seven hundred sixty-eight thousand, eighty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 173 263 306 346 459 519 526 789 918 1038 1557 1578 2367 2941 3114 4471 4671 4734 5882 7101 8823 8942 9342 13413 14202 17646 26469 26826 40239 45499 52938 79407 80478 90998 120717 136497 158814 241434 272994 409491 773483 818982 1228473 1546966 2320449 2456946 4640898 6961347 13922694 20884041 41768082