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286324025 = 52134401
BaseRepresentation
bin10001000100001…
…111010100111001
3201221202202201112
4101010033110321
51041244332100
644224530105
710044466631
oct2104172471
9657682645
10286324025
11137693529
127ba80935
1347420000
142a0536c1
151a20bb35
hex1110f539

286324025 has 30 divisors (see below), whose sum is σ = 385586742. Its totient is φ = 210912000.

The previous prime is 286324009. The next prime is 286324061. The reversal of 286324025 is 520423682.

It can be written as a sum of positive squares in 15 ways, for example, as 276357376 + 9966649 = 16624^2 + 3157^2 .

It is not a de Polignac number, because 286324025 - 24 = 286324009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 286323982 and 286324000.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 713825 + ... + 714225.

Almost surely, 2286324025 is an apocalyptic number.

286324025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

286324025 is a deficient number, since it is larger than the sum of its proper divisors (99262717).

286324025 is an frugal number, since it uses more digits than its factorization.

286324025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 286324025 is about 16921.1118133532. Note that the first 3 decimals coincide. The cubic root of 286324025 is about 659.1019504654.

The spelling of 286324025 in words is "two hundred eighty-six million, three hundred twenty-four thousand, twenty-five".

Divisors: 1 5 13 25 65 169 325 401 845 2005 2197 4225 5213 10025 10985 26065 28561 54925 67769 130325 142805 338845 714025 880997 1694225 4404985 11452961 22024925 57264805 286324025