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286056 = 233229137
BaseRepresentation
bin1000101110101101000
3112112101200
41011311220
533123211
610044200
72300661
oct1056550
9475350
10286056
11185a11
12119660
13a0284
1476368
1559b56
hex45d68

286056 has 48 divisors (see below), whose sum is σ = 807300. Its totient is φ = 91392.

The previous prime is 286049. The next prime is 286061. The reversal of 286056 is 650682.

It can be written as a sum of positive squares in 2 ways, for example, as 285156 + 900 = 534^2 + 30^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

286056 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2020 + ... + 2156.

2286056 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 286056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403650).

286056 is an abundant number, since it is smaller than the sum of its proper divisors (521244).

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

286056 is a wasteful number, since it uses less digits than its factorization.

286056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 286056 is about 534.8420327536. The cubic root of 286056 is about 65.8896226722.

It can be divided in two parts, 2860 and 56, that added together give a square (2916 = 542).

The spelling of 286056 in words is "two hundred eighty-six thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 137 174 232 261 274 348 411 522 548 696 822 1044 1096 1233 1644 2088 2466 3288 3973 4932 7946 9864 11919 15892 23838 31784 35757 47676 71514 95352 143028 286056