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282042 = 2341741
BaseRepresentation
bin1000100110110111010
3112022220000
41010312322
533011132
610013430
72253165
oct1046672
9468800
10282042
111829a2
12117276
139b4b7
1474adc
155887c
hex44dba

282042 has 20 divisors (see below), whose sum is σ = 632346. Its totient is φ = 93960.

The previous prime is 282019. The next prime is 282053. The reversal of 282042 is 240282.

It can be written as a sum of positive squares in only one way, i.e., 281961 + 81 = 531^2 + 9^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

282042 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 9 ways as a sum of consecutive naturals, for example, 709 + ... + 1032.

2282042 is an apocalyptic number.

282042 is an abundant number, since it is smaller than the sum of its proper divisors (350304).

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

282042 is a wasteful number, since it uses less digits than its factorization.

282042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1755 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 282042 is about 531.0762657095. The cubic root of 282042 is about 65.5799772820.

The spelling of 282042 in words is "two hundred eighty-two thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 1741 3482 5223 10446 15669 31338 47007 94014 141021 282042