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286203042 = 232194120411
BaseRepresentation
bin10001000011110…
…001110010100010
3201221112121202200
4101003301302202
51041231444132
644222154030
710043454126
oct2103616242
9657477680
10286203042
11137610644
127ba22916
13473a9c18
142a021586
151a1d5d7c
hex110f1ca2

286203042 has 48 divisors (see below), whose sum is σ = 668697120. Its totient is φ = 88171200.

The previous prime is 286203031. The next prime is 286203089. The reversal of 286203042 is 240302682.

286203042 is a `hidden beast` number, since 2 + 8 + 620 + 30 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 286202997 and 286203015.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3817 + ... + 24227.

It is an arithmetic number, because the mean of its divisors is an integer number (13931190).

Almost surely, 2286203042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 286203042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334348560).

286203042 is an abundant number, since it is smaller than the sum of its proper divisors (382494078).

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

286203042 is a wasteful number, since it uses less digits than its factorization.

286203042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20479 (or 20476 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 286203042 is about 16917.5365227920. The cubic root of 286203042 is about 659.0091053458.

The spelling of 286203042 in words is "two hundred eighty-six million, two hundred three thousand, forty-two".

Divisors: 1 2 3 6 9 18 19 38 41 57 82 114 123 171 246 342 369 738 779 1558 2337 4674 7011 14022 20411 40822 61233 122466 183699 367398 387809 775618 836851 1163427 1673702 2326854 2510553 3490281 5021106 6980562 7531659 15063318 15900169 31800338 47700507 95401014 143101521 286203042