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8282808 = 23321767101
BaseRepresentation
bin11111100110001010111000
3120120210212200
4133212022320
54110022213
6453310200
7130255062
oct37461270
916523780
108282808
114747aa6
122935360
131940091
141158732
15ad9273
hex7e62b8

8282808 has 96 divisors (see below), whose sum is σ = 24345360. Its totient is φ = 2534400.

The previous prime is 8282773. The next prime is 8282809. The reversal of 8282808 is 8082828.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8282809) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 81958 + ... + 82058.

Almost surely, 28282808 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 8282808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12172680).

8282808 is an abundant number, since it is smaller than the sum of its proper divisors (16062552).

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

8282808 is a wasteful number, since it uses less digits than its factorization.

8282808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 8282808 is about 2877.9867963561. The cubic root of 8282808 is about 202.3294952501.

The spelling of 8282808 in words is "eight million, two hundred eighty-two thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 67 68 72 101 102 134 136 153 201 202 204 268 303 306 402 404 408 536 603 606 612 804 808 909 1139 1206 1212 1224 1608 1717 1818 2278 2412 2424 3417 3434 3636 4556 4824 5151 6767 6834 6868 7272 9112 10251 10302 13534 13668 13736 15453 20301 20502 20604 27068 27336 30906 40602 41004 41208 54136 60903 61812 81204 82008 115039 121806 123624 162408 230078 243612 345117 460156 487224 690234 920312 1035351 1380468 2070702 2760936 4141404 8282808