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8268417 = 326171489
BaseRepresentation
bin11111100010101010000001
3120120002010200
4133202222001
54104042132
6453115413
7130165113
oct37425201
916502120
108268417
114738203
122928b69
131936671
1411533b3
15ad4d7c
hex7e2a81

8268417 has 12 divisors (see below), whose sum is σ = 11970660. Its totient is φ = 5499648.

The previous prime is 8268397. The next prime is 8268419. The reversal of 8268417 is 7148628.

It can be written as a sum of positive squares in 2 ways, for example, as 848241 + 7420176 = 921^2 + 2724^2 .

It is not a de Polignac number, because 8268417 - 210 = 8267393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8268419) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4809 + ... + 6297.

It is an arithmetic number, because the mean of its divisors is an integer number (997555).

Almost surely, 28268417 is an apocalyptic number.

It is an amenable number.

8268417 is a deficient number, since it is larger than the sum of its proper divisors (3702243).

8268417 is a wasteful number, since it uses less digits than its factorization.

8268417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112 (or 2109 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 8268417 is about 2875.4855242202. The cubic root of 8268417 is about 202.2122479058.

The spelling of 8268417 in words is "eight million, two hundred sixty-eight thousand, four hundred seventeen".

Divisors: 1 3 9 617 1489 1851 4467 5553 13401 918713 2756139 8268417