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41676030 = 23251124389
BaseRepresentation
bin1001111011111…
…0110011111110
32220102100202200
42132332303332
541132113110
64045132330
71014145314
oct236766376
986370680
1041676030
1121585900
1211b5a0a6
138832696
14576c0b4
1539d36c0
hex27becfe

41676030 has 144 divisors (see below), whose sum is σ = 123243120. Its totient is φ = 9757440.

The previous prime is 41676029. The next prime is 41676067. The reversal of 41676030 is 3067614.

It is a junction number, because it is equal to n+sod(n) for n = 41675985 and 41676003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 468226 + ... + 468314.

It is an arithmetic number, because the mean of its divisors is an integer number (855855).

Almost surely, 241676030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41676030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61621560).

41676030 is an abundant number, since it is smaller than the sum of its proper divisors (81567090).

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

41676030 is a wasteful number, since it uses less digits than its factorization.

41676030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 41676030 is about 6455.6974836186. The cubic root of 41676030 is about 346.7066039213.

The spelling of 41676030 in words is "forty-one million, six hundred seventy-six thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 43 45 55 66 86 89 90 99 110 121 129 165 178 198 215 242 258 267 330 363 387 430 445 473 495 534 605 645 726 774 801 890 946 979 990 1089 1210 1290 1335 1419 1602 1815 1935 1958 2178 2365 2670 2838 2937 3630 3827 3870 4005 4257 4730 4895 5203 5445 5874 7095 7654 8010 8514 8811 9790 10406 10769 10890 11481 14190 14685 15609 17622 19135 21285 21538 22962 26015 29370 31218 32307 34443 38270 42097 42570 44055 46827 52030 53845 57405 64614 68886 78045 84194 88110 93654 96921 107690 114810 126291 156090 161535 172215 193842 210485 234135 252582 323070 344430 378873 420970 463067 468270 484605 631455 757746 926134 969210 1262910 1389201 1894365 2315335 2778402 3788730 4167603 4630670 6946005 8335206 13892010 20838015 41676030