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286038016 = 2111112697
BaseRepresentation
bin10001000011001…
…001100000000000
3201221020020101121
4101003021200000
51041211204031
644214442024
710042166035
oct2103114000
9657206347
10286038016
11137508660
127b963314
134734ca84
1429dbb38c
151a1a2011
hex110c9800

286038016 has 48 divisors (see below), whose sum is σ = 623979720. Its totient is φ = 130007040.

The previous prime is 286038013. The next prime is 286038019. The reversal of 286038016 is 610830682.

286038016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (286038013) and next prime (286038019).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286038013) 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 3 ways as a sum of consecutive naturals, for example, 16180 + ... + 28876.

Almost surely, 2286038016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 286038016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311989860).

286038016 is an abundant number, since it is smaller than the sum of its proper divisors (337941704).

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

286038016 is a wasteful number, since it uses less digits than its factorization.

286038016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12730 (or 12710 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 286038016 is about 16912.6584545423. The cubic root of 286038016 is about 658.8824184255.

Adding to 286038016 its reverse (610830682), we get a palindrome (896868698).

The spelling of 286038016 in words is "two hundred eighty-six million, thirty-eight thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2048 2816 5632 11264 12697 22528 25394 50788 101576 139667 203152 279334 406304 558668 812608 1117336 1625216 2234672 3250432 4469344 6500864 8938688 13001728 17877376 26003456 35754752 71509504 143019008 286038016