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282942 = 232111429
BaseRepresentation
bin1000101000100111110
3112101010100
41011010332
533023232
610021530
72255622
oct1050476
9471110
10282942
11183640
121178a6
139ba2a
1475182
1558c7c
hex4513e

282942 has 24 divisors (see below), whose sum is σ = 669240. Its totient is φ = 85680.

The previous prime is 282917. The next prime is 282959. The reversal of 282942 is 249282.

It is an Ulam number.

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 282942.

It is an unprimeable number.

282942 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, 517 + ... + 912.

It is an arithmetic number, because the mean of its divisors is an integer number (27885).

2282942 is an apocalyptic number.

282942 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

282942 is an abundant number, since it is smaller than the sum of its proper divisors (386298).

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

282942 is a wasteful number, since it uses less digits than its factorization.

282942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448 (or 1445 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 282942 is about 531.9229267479. The cubic root of 282942 is about 65.6496587605.

It can be divided in two parts, 2 and 82942, that added together give a square (82944 = 2882).

The spelling of 282942 in words is "two hundred eighty-two thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 1429 2858 4287 8574 12861 15719 25722 31438 47157 94314 141471 282942