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285968 = 2461293
BaseRepresentation
bin1000101110100010000
3112112021102
41011310100
533122333
610043532
72300504
oct1056420
9475242
10285968
11185941
121195a8
13a0217
1476304
1559ae8
hex45d10

285968 has 20 divisors (see below), whose sum is σ = 565068. Its totient is φ = 140160.

The previous prime is 285953. The next prime is 285977. The reversal of 285968 is 869582.

It can be written as a sum of positive squares in 2 ways, for example, as 135424 + 150544 = 368^2 + 388^2 .

It is an unprimeable number.

285968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 830 + ... + 1122.

2285968 is an apocalyptic number.

It is an amenable number.

285968 is a deficient number, since it is larger than the sum of its proper divisors (279100).

285968 is a wasteful number, since it uses less digits than its factorization.

285968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 356 counting only the distinct ones).

The product of its digits is 34560, while the sum is 38.

The square root of 285968 is about 534.7597591442. The cubic root of 285968 is about 65.8828653922.

The spelling of 285968 in words is "two hundred eighty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 61 122 244 293 488 586 976 1172 2344 4688 17873 35746 71492 142984 285968