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41442660 = 223257311061
BaseRepresentation
bin1001111000010…
…1110101100100
32212222111122100
42132011311210
541102131120
64040132100
71012154040
oct236056544
985874570
1041442660
1121436536
1211a67030
1387803ac
14570b020
153989490
hex2785d64

41442660 has 144 divisors (see below), whose sum is σ = 148442112. Its totient is φ = 9158400.

The previous prime is 41442659. The next prime is 41442671. The reversal of 41442660 is 6624414.

41442660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 38530 + ... + 39590.

It is an arithmetic number, because the mean of its divisors is an integer number (1030848).

Almost surely, 241442660 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 41442660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74221056).

41442660 is an abundant number, since it is smaller than the sum of its proper divisors (106999452).

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

41442660 is a wasteful number, since it uses less digits than its factorization.

41442660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 41442660 is about 6437.5973779043. The cubic root of 41442660 is about 346.0582502973.

The spelling of 41442660 in words is "forty-one million, four hundred forty-two thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 31 35 36 42 45 60 62 63 70 84 90 93 105 124 126 140 155 180 186 210 217 252 279 310 315 372 420 434 465 558 620 630 651 868 930 1061 1085 1116 1260 1302 1395 1860 1953 2122 2170 2604 2790 3183 3255 3906 4244 4340 5305 5580 6366 6510 7427 7812 9549 9765 10610 12732 13020 14854 15915 19098 19530 21220 22281 29708 31830 32891 37135 38196 39060 44562 47745 63660 65782 66843 74270 89124 95490 98673 111405 131564 133686 148540 164455 190980 197346 222810 230237 267372 296019 328910 334215 394692 445620 460474 493365 592038 657820 668430 690711 920948 986730 1151185 1184076 1336860 1381422 1480095 1973460 2072133 2302370 2762844 2960190 3453555 4144266 4604740 5920380 6907110 8288532 10360665 13814220 20721330 41442660