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8266482 = 2337191151
BaseRepresentation
bin11111100010001011110010
3120112222111000
4133202023302
54104011412
6453102430
7130156350
oct37421362
916488430
108266482
114736804
122927a16
131935813
1411527d0
15ad44dc
hex7e22f2

8266482 has 64 divisors (see below), whose sum is σ = 22118400. Its totient is φ = 2235600.

The previous prime is 8266477. The next prime is 8266487. The reversal of 8266482 is 2846628.

8266482 is a `hidden beast` number, since 8 + 2 + 6 + 648 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (8266477) and next prime (8266487).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (8266487) 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 31 ways as a sum of consecutive naturals, for example, 6607 + ... + 7757.

It is an arithmetic number, because the mean of its divisors is an integer number (345600).

Almost surely, 28266482 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8266482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11059200).

8266482 is an abundant number, since it is smaller than the sum of its proper divisors (13851918).

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

8266482 is a wasteful number, since it uses less digits than its factorization.

8266482 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1182 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 8266482 is about 2875.1490396152. The cubic root of 8266482 is about 202.1964725674.

It can be divided in two parts, 82 and 66482, that added together give a square (66564 = 2582).

The spelling of 8266482 in words is "eight million, two hundred sixty-six thousand, four hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 114 126 133 171 189 266 342 378 399 513 798 1026 1151 1197 2302 2394 3453 3591 6906 7182 8057 10359 16114 20718 21869 24171 31077 43738 48342 62154 65607 72513 131214 145026 153083 196821 217539 306166 393642 435078 459249 590463 918498 1180926 1377747 2755494 4133241 8266482