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286438128 = 2435967461
BaseRepresentation
bin10001000100101…
…011001011110000
3201221222120020120
4101010223023300
51041312010003
644231210240
710045453404
oct2104531360
9657876216
10286438128
11137761229
127bb16980
134745cc22
142a083104
151a230853
hex1112b2f0

286438128 has 20 divisors (see below), whose sum is σ = 739965288. Its totient is φ = 95479360.

The previous prime is 286438081. The next prime is 286438169. The reversal of 286438128 is 821834682.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 286438128.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2983683 + ... + 2983778.

Almost surely, 2286438128 is an apocalyptic number.

It is an amenable number.

286438128 is an abundant number, since it is smaller than the sum of its proper divisors (453527160).

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

286438128 is a wasteful number, since it uses less digits than its factorization.

286438128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5967472 (or 5967466 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 286438128 is about 16924.4830940268. The cubic root of 286438128 is about 659.1894917537.

The spelling of 286438128 in words is "two hundred eighty-six million, four hundred thirty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 5967461 11934922 17902383 23869844 35804766 47739688 71609532 95479376 143219064 286438128