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8252827 = 117110567
BaseRepresentation
bin11111011110110110011011
3120112021202021
4133132312123
54103042302
6452515311
7130101502
oct37366633
916467667
108252827
114727520
12291bb37
13192c53b
14114b839
15ad0437
hex7ded9b

8252827 has 8 divisors (see below), whose sum is σ = 9130752. Its totient is φ = 7396200.

The previous prime is 8252809. The next prime is 8252879. The reversal of 8252827 is 7282528.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-8252827 is a prime.

It is a Duffinian number.

8252827 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 8252792 and 8252801.

It is not an unprimeable number, because it can be changed into a prime (8252807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4503 + ... + 6064.

It is an arithmetic number, because the mean of its divisors is an integer number (1141344).

Almost surely, 28252827 is an apocalyptic number.

8252827 is a deficient number, since it is larger than the sum of its proper divisors (877925).

8252827 is a wasteful number, since it uses less digits than its factorization.

8252827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10649.

The product of its digits is 17920, while the sum is 34.

The square root of 8252827 is about 2872.7733986516. The cubic root of 8252827 is about 202.0850783662.

Subtracting from 8252827 its reverse (7282528), we obtain a cube (970299 = 993).

The spelling of 8252827 in words is "eight million, two hundred fifty-two thousand, eight hundred twenty-seven".

Divisors: 1 11 71 781 10567 116237 750257 8252827