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3382627482 = 2321334741659
BaseRepresentation
bin1100100110011110…
…1100110010011010
322201202000021120100
43021213230302122
523411423034412
61315353240230
7146552600463
oct31147546232
98652007510
103382627482
111486450103
127a4a03076
1341ba52630
14241367d6a
1514be74edc
hexc99ecc9a

3382627482 has 48 divisors (see below), whose sum is σ = 7915733280. Its totient is φ = 1037784096.

The previous prime is 3382627463. The next prime is 3382627517. The reversal of 3382627482 is 2847262833.

3382627482 is a `hidden beast` number, since 33 + 82 + 62 + 7 + 482 = 666.

It is a super-2 number, since 2×33826274822 = 22884337363963320648, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60369 + ... + 102027.

It is an arithmetic number, because the mean of its divisors is an integer number (164911110).

Almost surely, 23382627482 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3382627482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3957866640).

3382627482 is an abundant number, since it is smaller than the sum of its proper divisors (4533105798).

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

3382627482 is a wasteful number, since it uses less digits than its factorization.

3382627482 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42027 (or 42024 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 3382627482 is about 58160.3600573449. The cubic root of 3382627482 is about 1501.1291471379.

It can be divided in two parts, 338262 and 7482, that added together give a square (345744 = 5882).

The spelling of 3382627482 in words is "three billion, three hundred eighty-two million, six hundred twenty-seven thousand, four hundred eighty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 347 694 1041 2082 3123 4511 6246 9022 13533 27066 40599 41659 81198 83318 124977 249954 374931 541567 749862 1083134 1624701 3249402 4874103 9748206 14455673 28911346 43367019 86734038 130101057 187923749 260202114 375847498 563771247 1127542494 1691313741 3382627482