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809025 = 35272367
BaseRepresentation
bin11000101100001000001
31112002202220
43011201001
5201342100
625201253
76606450
oct3054101
91462686
10809025
11502918
12330229
13224319
14170b97
1510eaa0
hexc5841

809025 has 48 divisors (see below), whose sum is σ = 1618944. Its totient is φ = 348480.

The previous prime is 809023. The next prime is 809041. The reversal of 809025 is 520908.

It is not a de Polignac number, because 809025 - 21 = 809023 is a prime.

It is a Curzon number.

809025 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 808986 and 809004.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 809025.

It is not an unprimeable number, because it can be changed into a prime (809023) 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 47 ways as a sum of consecutive naturals, for example, 12042 + ... + 12108.

It is an arithmetic number, because the mean of its divisors is an integer number (33728).

2809025 is an apocalyptic number.

It is an amenable number.

809025 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

809025 is a wasteful number, since it uses less digits than its factorization.

809025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 809025 is about 899.4581702336. The cubic root of 809025 is about 93.1795582889.

The spelling of 809025 in words is "eight hundred nine thousand, twenty-five".

Divisors: 1 3 5 7 15 21 23 25 35 67 69 75 105 115 161 175 201 335 345 469 483 525 575 805 1005 1407 1541 1675 1725 2345 2415 4025 4623 5025 7035 7705 10787 11725 12075 23115 32361 35175 38525 53935 115575 161805 269675 809025