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286055728 = 24723171151
BaseRepresentation
bin10001000011001…
…101110100110000
3201221021010200121
4101003031310300
51041212240403
644215100024
710042301500
oct2103156460
9657233617
10286055728
1113751a9a2
127b971614
1347357b5a
1429dc3a00
151a1a73bd
hex110cdd30

286055728 has 60 divisors (see below), whose sum is σ = 647315712. Its totient is φ = 122102400.

The previous prime is 286055717. The next prime is 286055741. The reversal of 286055728 is 827550682.

286055728 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 247953 + ... + 249103.

Almost surely, 2286055728 is an apocalyptic number.

286055728 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 286055728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323657856).

286055728 is an abundant number, since it is smaller than the sum of its proper divisors (361259984).

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

286055728 is a wasteful number, since it uses less digits than its factorization.

286055728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 43.

The square root of 286055728 is about 16913.1820778942. The cubic root of 286055728 is about 658.8960178819.

The spelling of 286055728 in words is "two hundred eighty-six million, fifty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 317 392 634 784 1151 1268 2219 2302 2536 4438 4604 5072 8057 8876 9208 15533 16114 17752 18416 31066 32228 35504 56399 62132 64456 112798 124264 128912 225596 248528 364867 451192 729734 902384 1459468 2554069 2918936 5108138 5837872 10216276 17878483 20432552 35756966 40865104 71513932 143027864 286055728