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8261397 = 323724809
BaseRepresentation
bin11111100000111100010101
3120112201111200
4133200330111
54103331042
6453023113
7130135464
oct37407425
916481450
108261397
114732a01
122924a99
131933401
1411509db
15ad2c4c
hex7e0f15

8261397 has 12 divisors (see below), whose sum is σ = 12256140. Its totient is φ = 5358528.

The previous prime is 8261381. The next prime is 8261399. The reversal of 8261397 is 7931628.

8261397 is a `hidden beast` number, since 8 + 261 + 397 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7322436 + 938961 = 2706^2 + 969^2 .

It is not a de Polignac number, because 8261397 - 24 = 8261381 is a prime.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8261399) 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 11 ways as a sum of consecutive naturals, for example, 12072 + ... + 12737.

It is an arithmetic number, because the mean of its divisors is an integer number (1021345).

Almost surely, 28261397 is an apocalyptic number.

It is an amenable number.

8261397 is a deficient number, since it is larger than the sum of its proper divisors (3994743).

8261397 is a wasteful number, since it uses less digits than its factorization.

8261397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24852 (or 24849 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 8261397 is about 2874.2646015981. The cubic root of 8261397 is about 202.1550047074.

The spelling of 8261397 in words is "eight million, two hundred sixty-one thousand, three hundred ninety-seven".

Divisors: 1 3 9 37 111 333 24809 74427 223281 917933 2753799 8261397