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286401268 = 2247232413
BaseRepresentation
bin10001000100100…
…010001011110100
3201221220200200101
4101010202023310
51041304320033
644230323444
710045241056
oct2104421364
9657820611
10286401268
1113773656a
127bab9584
134744920a
142a0738d6
151a22497d
hex111222f4

286401268 has 18 divisors (see below), whose sum is σ = 512108786. Its totient is φ = 140149488.

The previous prime is 286401263. The next prime is 286401287. The reversal of 286401268 is 862104682.

It can be written as a sum of positive squares in only one way, i.e., 279959824 + 6441444 = 16732^2 + 2538^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286401263) 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 5 ways as a sum of consecutive naturals, for example, 7371 + ... + 25042.

Almost surely, 2286401268 is an apocalyptic number.

It is an amenable number.

286401268 is a deficient number, since it is larger than the sum of its proper divisors (225707518).

286401268 is a wasteful number, since it uses less digits than its factorization.

286401268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32511 (or 32462 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 286401268 is about 16923.3941040206. The cubic root of 286401268 is about 659.1612148303.

The spelling of 286401268 in words is "two hundred eighty-six million, four hundred one thousand, two hundred sixty-eight".

Divisors: 1 2 4 47 94 188 2209 4418 8836 32413 64826 129652 1523411 3046822 6093644 71600317 143200634 286401268