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282268 = 22717593
BaseRepresentation
bin1000100111010011100
3112100012101
41010322130
533013033
610014444
72253640
oct1047234
9470171
10282268
11183088
12117424
139b62c
1474c20
155897d
hex44e9c

282268 has 24 divisors (see below), whose sum is σ = 598752. Its totient is φ = 113664.

The previous prime is 282253. The next prime is 282281. The reversal of 282268 is 862282.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 180 + ... + 772.

It is an arithmetic number, because the mean of its divisors is an integer number (24948).

2282268 is an apocalyptic number.

282268 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 282268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299376).

282268 is an abundant number, since it is smaller than the sum of its proper divisors (316484).

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

282268 is a wasteful number, since it uses less digits than its factorization.

282268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 619 counting only the distinct ones).

The product of its digits is 3072, while the sum is 28.

The square root of 282268 is about 531.2889985686. The cubic root of 282268 is about 65.5974889977.

It can be divided in two parts, 28 and 2268, that multiplied together give a square (63504 = 2522).

The spelling of 282268 in words is "two hundred eighty-two thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 476 593 1186 2372 4151 8302 10081 16604 20162 40324 70567 141134 282268