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381006856 = 23177338377
BaseRepresentation
bin10110101101011…
…011010000001000
3222112221011011001
4112231123100020
51240014204411
6101450144344
712304335106
oct2655332010
9875834131
10381006856
111860830aa
12a77220b4
1360c21559
143885cc76
15236b0dc1
hex16b5b408

381006856 has 32 divisors (see below), whose sum is σ = 766792440. Its totient is φ = 176836608.

The previous prime is 381006853. The next prime is 381006859. The reversal of 381006856 is 658600183.

It is an interprime number because it is at equal distance from previous prime (381006853) and next prime (381006859).

It can be written as a sum of positive squares in 4 ways, for example, as 264582756 + 116424100 = 16266^2 + 10790^2 .

It is not an unprimeable number, because it can be changed into a prime (381006853) 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 7 ways as a sum of consecutive naturals, for example, 9261 + ... + 29116.

Almost surely, 2381006856 is an apocalyptic number.

It is an amenable number.

381006856 is an abundant number, since it is smaller than the sum of its proper divisors (385785584).

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

381006856 is a wasteful number, since it uses less digits than its factorization.

381006856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38473 (or 38469 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 381006856 is about 19519.3969169132. The cubic root of 381006856 is about 724.9548008286.

The spelling of 381006856 in words is "three hundred eighty-one million, six thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 17 34 68 73 136 146 292 584 1241 2482 4964 9928 38377 76754 153508 307016 652409 1304818 2609636 2801521 5219272 5603042 11206084 22412168 47625857 95251714 190503428 381006856