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285320556 = 22341018719
BaseRepresentation
bin10001000000011…
…010010101101100
3201212212210020000
4101000122111230
51041020224211
644151224300
710033120233
oct2100322554
9655783200
10285320556
11137068614
127b678090
134715b341
1429c71b1a
151a0ae656
hex1101a56c

285320556 has 60 divisors (see below), whose sum is σ = 753355680. Its totient is φ = 94154400.

The previous prime is 285320533. The next prime is 285320569. The reversal of 285320556 is 655023582.

It is a happy number.

285320556 is a `hidden beast` number, since 2 + 85 + 3 + 20 + 556 = 666.

It is a super-2 number, since 2×2853205562 = 162815639352298272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 285320556.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 28365 + ... + 37083.

It is an arithmetic number, because the mean of its divisors is an integer number (12555928).

Almost surely, 2285320556 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 285320556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376677840).

285320556 is an abundant number, since it is smaller than the sum of its proper divisors (468035124).

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

285320556 is a wasteful number, since it uses less digits than its factorization.

285320556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8836 (or 8825 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 285320556 is about 16891.4343973506. The cubic root of 285320556 is about 658.3310726337.

It can be divided in two parts, 2853 and 20556, that added together give a square (23409 = 1532).

The spelling of 285320556 in words is "two hundred eighty-five million, three hundred twenty thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 101 108 162 202 303 324 404 606 909 1212 1818 2727 3636 5454 8181 8719 10908 16362 17438 26157 32724 34876 52314 78471 104628 156942 235413 313884 470826 706239 880619 941652 1412478 1761238 2641857 2824956 3522476 5283714 7925571 10567428 15851142 23776713 31702284 47553426 71330139 95106852 142660278 285320556