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804609 = 32132232
BaseRepresentation
bin11000100011100000001
31111212201100
43010130001
5201221414
625125013
76560541
oct3043401
91455640
10804609
114aa573
12329769
13222300
1416d321
1510d609
hexc4701

804609 has 27 divisors (see below), whose sum is σ = 1315587. Its totient is φ = 473616.

The previous prime is 804607. The next prime is 804611. The reversal of 804609 is 906408.

The square root of 804609 is 897.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (804607) and next prime (804611).

It can be written as a sum of positive squares in only one way, i.e., 119025 + 685584 = 345^2 + 828^2 .

It is not a de Polignac number, because 804609 - 21 = 804607 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (804607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 34972 + ... + 34994.

2804609 is an apocalyptic number.

804609 is the 897-th square number.

804609 is the 449-th centered octagonal number.

It is an amenable number.

804609 is a deficient number, since it is larger than the sum of its proper divisors (510978).

804609 is a wasteful number, since it uses less digits than its factorization.

804609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The cubic root of 804609 is about 93.0097110914.

The spelling of 804609 in words is "eight hundred four thousand, six hundred nine".

Divisors: 1 3 9 13 23 39 69 117 169 207 299 507 529 897 1521 1587 2691 3887 4761 6877 11661 20631 34983 61893 89401 268203 804609