Search a number
-
+
282436 = 227211131
BaseRepresentation
bin1000100111101000100
3112100102121
41010331010
533014221
610015324
72254300
oct1047504
9470377
10282436
11183220
12117544
139b72b
1474d00
1558a41
hex44f44

282436 has 36 divisors (see below), whose sum is σ = 632016. Its totient is φ = 109200.

The previous prime is 282427. The next prime is 282439. The reversal of 282436 is 634282.

It is a happy number.

282436 is nontrivially palindromic in base 16.

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 282436.

It is not an unprimeable number, because it can be changed into a prime (282439) by changing a digit.

282436 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, 2091 + ... + 2221.

It is an arithmetic number, because the mean of its divisors is an integer number (17556).

2282436 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 282436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316008).

282436 is an abundant number, since it is smaller than the sum of its proper divisors (349580).

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

282436 is a wasteful number, since it uses less digits than its factorization.

282436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 151 counting only the distinct ones).

The product of its digits is 2304, while the sum is 25.

The square root of 282436 is about 531.4470810909. The cubic root of 282436 is about 65.6105005004.

The spelling of 282436 in words is "two hundred eighty-two thousand, four hundred thirty-six".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 131 154 196 262 308 524 539 917 1078 1441 1834 2156 2882 3668 5764 6419 10087 12838 20174 25676 40348 70609 141218 282436