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41280216 = 23317235383
BaseRepresentation
bin1001110101111…
…0001011011000
32212200020210220
42131132023120
541031431331
64032440040
71010606325
oct235361330
985606726
1041280216
112133548a
12119a9020
138724483
1456a7b4c
153956296
hex275e2d8

41280216 has 128 divisors (see below), whose sum is σ = 117573120. Its totient is φ = 12007424.

The previous prime is 41280203. The next prime is 41280221. The reversal of 41280216 is 61208214.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 497311 + ... + 497393.

It is an arithmetic number, because the mean of its divisors is an integer number (918540).

Almost surely, 241280216 is an apocalyptic number.

41280216 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41280216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58786560).

41280216 is an abundant number, since it is smaller than the sum of its proper divisors (76292904).

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

41280216 is a wasteful number, since it uses less digits than its factorization.

41280216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 41280216 is about 6424.9681711274. The cubic root of 41280216 is about 345.6055067067.

The spelling of 41280216 in words is "forty-one million, two hundred eighty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 17 23 24 34 46 51 53 68 69 83 92 102 106 136 138 159 166 184 204 212 249 276 318 332 391 408 424 498 552 636 664 782 901 996 1173 1219 1272 1411 1564 1802 1909 1992 2346 2438 2703 2822 3128 3604 3657 3818 4233 4399 4692 4876 5406 5644 5727 7208 7314 7636 8466 8798 9384 9752 10812 11288 11454 13197 14628 15272 16932 17596 20723 21624 22908 26394 29256 32453 33864 35192 41446 45816 52788 62169 64906 74783 82892 97359 101177 105576 124338 129812 149566 165784 194718 202354 224349 248676 259624 299132 303531 389436 404708 448698 497352 598264 607062 778872 809416 897396 1214124 1720009 1794792 2428248 3440018 5160027 6880036 10320054 13760072 20640108 41280216