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8282196 = 22331317347
BaseRepresentation
bin11111100110000001010100
3120120210001000
4133212001110
54110012241
6453303300
7130253226
oct37460124
916523030
108282196
11474759a
122934b30
13193ca10
141158416
15ad8eb6
hex7e6054

8282196 has 96 divisors (see below), whose sum is σ = 24554880. Its totient is φ = 2391552.

The previous prime is 8282189. The next prime is 8282201. The reversal of 8282196 is 6912828.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 8282196.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23695 + ... + 24041.

It is an arithmetic number, because the mean of its divisors is an integer number (255780).

Almost surely, 28282196 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 8282196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12277440).

8282196 is an abundant number, since it is smaller than the sum of its proper divisors (16272684).

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

8282196 is a wasteful number, since it uses less digits than its factorization.

8282196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 382 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 8282196 is about 2877.8804700682. The cubic root of 8282196 is about 202.3245118877.

The spelling of 8282196 in words is "eight million, two hundred eighty-two thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 27 34 36 39 51 52 54 68 78 102 108 117 153 156 204 221 234 306 347 351 442 459 468 612 663 694 702 884 918 1041 1326 1388 1404 1836 1989 2082 2652 3123 3978 4164 4511 5899 5967 6246 7956 9022 9369 11798 11934 12492 13533 17697 18044 18738 23596 23868 27066 35394 37476 40599 53091 54132 70788 76687 81198 106182 121797 153374 159273 162396 212364 230061 243594 306748 318546 460122 487188 637092 690183 920244 1380366 2070549 2760732 4141098 8282196