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41679660 = 22351125741
BaseRepresentation
bin1001111011111…
…1101100101100
32220102112202010
42132333230230
541132222120
64045201220
71014162021
oct236775454
986375663
1041679660
1121588600
1211b60210
138834229
14576d548
1539d47e0
hex27bfb2c

41679660 has 72 divisors (see below), whose sum is σ = 128299248. Its totient is φ = 10102400.

The previous prime is 41679623. The next prime is 41679661. The reversal of 41679660 is 6697614.

It is not an unprimeable number, because it can be changed into a prime (41679661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4390 + ... + 10130.

It is an arithmetic number, because the mean of its divisors is an integer number (1781934).

Almost surely, 241679660 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 41679660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64149624).

41679660 is an abundant number, since it is smaller than the sum of its proper divisors (86619588).

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

41679660 is a wasteful number, since it uses less digits than its factorization.

41679660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5775 (or 5762 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 41679660 is about 6455.9786244999. The cubic root of 41679660 is about 346.7166697267.

The spelling of 41679660 in words is "forty-one million, six hundred seventy-nine thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1815 2420 3630 5741 7260 11482 17223 22964 28705 34446 57410 63151 68892 86115 114820 126302 172230 189453 252604 315755 344460 378906 631510 694661 757812 947265 1263020 1389322 1894530 2083983 2778644 3473305 3789060 4167966 6946610 8335932 10419915 13893220 20839830 41679660