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282864 = 2437183
BaseRepresentation
bin1000101000011110000
3112101000110
41011003300
533022424
610021320
72255451
oct1050360
9471013
10282864
1118357a
12117840
139b99a
1475128
1558c29
hex450f0

282864 has 40 divisors (see below), whose sum is σ = 749952. Its totient is φ = 91840.

The previous prime is 282851. The next prime is 282869. The reversal of 282864 is 468282.

It is a happy number.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 214 + 8 + 84 + 218 + 63 + 42 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 282864.

It is not an unprimeable number, because it can be changed into a prime (282869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3367 + ... + 3449.

2282864 is an apocalyptic number.

282864 is a gapful number since it is divisible by the number (24) 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 282864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374976).

282864 is an abundant number, since it is smaller than the sum of its proper divisors (467088).

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

282864 is a wasteful number, since it uses less digits than its factorization.

282864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 159 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 282864 is about 531.8496028014. The cubic root of 282864 is about 65.6436255522.

The spelling of 282864 in words is "two hundred eighty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 83 142 166 213 249 284 332 426 498 568 664 852 996 1136 1328 1704 1992 3408 3984 5893 11786 17679 23572 35358 47144 70716 94288 141432 282864