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286288525 = 5289128669
BaseRepresentation
bin10001000100000…
…110101010001101
3201221200222000201
4101010012222031
51041242213100
644224053501
710044261265
oct2104065215
9657628021
10286288525
11137669896
127ba64291
1347409ac3
142a0447a5
151a20136a
hex11106a8d

286288525 has 12 divisors (see below), whose sum is σ = 358989300. Its totient is φ = 226455680.

The previous prime is 286288507. The next prime is 286288529. The reversal of 286288525 is 525882682.

It can be written as a sum of positive squares in 6 ways, for example, as 109558089 + 176730436 = 10467^2 + 13294^2 .

It is not a de Polignac number, because 286288525 - 215 = 286255757 is a prime.

It is a super-2 number, since 2×2862885252 = 163922239093351250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286288529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62110 + ... + 66559.

It is an arithmetic number, because the mean of its divisors is an integer number (29915775).

Almost surely, 2286288525 is an apocalyptic number.

286288525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

286288525 is a deficient number, since it is larger than the sum of its proper divisors (72700775).

286288525 is a wasteful number, since it uses less digits than its factorization.

286288525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128768 (or 128763 counting only the distinct ones).

The product of its digits is 614400, while the sum is 46.

The square root of 286288525 is about 16920.0627953917. The cubic root of 286288525 is about 659.0747096656.

The spelling of 286288525 in words is "two hundred eighty-six million, two hundred eighty-eight thousand, five hundred twenty-five".

Divisors: 1 5 25 89 445 2225 128669 643345 3216725 11451541 57257705 286288525