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286887006 = 23279723473
BaseRepresentation
bin10001000110011…
…000110001011110
3201222211100222200
4101012120301132
51041420341011
644244552330
710052333160
oct2106306136
9658740880
10286887006
11137a384aa
12800b26a6
1347589333
142a15c930
151a2bd856
hex11198c5e

286887006 has 48 divisors (see below), whose sum is σ = 717741024. Its totient is φ = 81119232.

The previous prime is 286887001. The next prime is 286887037. The reversal of 286887006 is 600788682.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286887001) 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 23 ways as a sum of consecutive naturals, for example, 486 + ... + 23958.

It is an arithmetic number, because the mean of its divisors is an integer number (14952938).

Almost surely, 2286887006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 286887006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358870512).

286887006 is an abundant number, since it is smaller than the sum of its proper divisors (430854018).

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

286887006 is a wasteful number, since it uses less digits than its factorization.

286887006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23585 (or 23582 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 286887006 is about 16937.7391053234. The cubic root of 286887006 is about 659.5336512770.

The spelling of 286887006 in words is "two hundred eighty-six million, eight hundred eighty-seven thousand, six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 97 126 194 291 582 679 873 1358 1746 2037 4074 6111 12222 23473 46946 70419 140838 164311 211257 328622 422514 492933 985866 1478799 2276881 2957598 4553762 6830643 13661286 15938167 20491929 31876334 40983858 47814501 95629002 143443503 286887006