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282085349 = 71329139769
BaseRepresentation
bin10000110100000…
…100011111100101
3201122210102100112
4100310010133211
51034203212344
643554022405
76663454160
oct2064043745
9648712315
10282085349
11135258997
127a577a05
1346597910
142966cad7
1519b70c9e
hex10d047e5

282085349 has 32 divisors (see below), whose sum is σ = 362208000. Its totient is φ = 213663744.

The previous prime is 282085339. The next prime is 282085361. The reversal of 282085349 is 943580282.

It is not a de Polignac number, because 282085349 - 28 = 282085093 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282085339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 366437 + ... + 367205.

It is an arithmetic number, because the mean of its divisors is an integer number (11319000).

Almost surely, 2282085349 is an apocalyptic number.

282085349 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

282085349 is a deficient number, since it is larger than the sum of its proper divisors (80122651).

282085349 is a wasteful number, since it uses less digits than its factorization.

282085349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957.

The product of its (nonzero) digits is 138240, while the sum is 41.

The square root of 282085349 is about 16795.3966609902. The cubic root of 282085349 is about 655.8333692444.

The spelling of 282085349 in words is "two hundred eighty-two million, eighty-five thousand, three hundred forty-nine".

Divisors: 1 7 13 29 91 139 203 377 769 973 1807 2639 4031 5383 9997 12649 22301 28217 52403 69979 106891 156107 289913 366821 748237 1389583 2029391 3099839 9727081 21698873 40297907 282085349