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8083433241 = 3213173124229
BaseRepresentation
bin1111000011100111…
…10110011100011001
3202212100101221210100
413201303312130121
5113023324330431
63414040010013
7404213022522
oct74163663431
922770357710
108083433241
113478984044
121697160909
139ba9060c0
145697c5849
153249cb4e6
hex1e1cf6719

8083433241 has 72 divisors (see below), whose sum is σ = 13760477640. Its totient is φ = 4529710080.

The previous prime is 8083433231. The next prime is 8083433243. The reversal of 8083433241 is 1423343808.

It is a happy number.

8083433241 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3411027216 + 4672406025 = 58404^2 + 68355^2 .

It is not a de Polignac number, because 8083433241 - 25 = 8083433209 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 8083433196 and 8083433205.

It is not an unprimeable number, because it can be changed into a prime (8083433243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1909315 + ... + 1913543.

It is an arithmetic number, because the mean of its divisors is an integer number (191117745).

Almost surely, 28083433241 is an apocalyptic number.

It is an amenable number.

8083433241 is a deficient number, since it is larger than the sum of its proper divisors (5677044399).

8083433241 is a wasteful number, since it uses less digits than its factorization.

8083433241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4327 (or 4293 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 8083433241 is about 89907.9153411979. The cubic root of 8083433241 is about 2006.9287386544.

The spelling of 8083433241 in words is "eight billion, eighty-three million, four hundred thirty-three thousand, two hundred forty-one".

Divisors: 1 3 9 13 17 31 39 51 93 117 153 221 279 403 527 663 961 1209 1581 1989 2883 3627 4229 4743 6851 8649 12493 12687 16337 20553 37479 38061 49011 54977 61659 71893 112437 131099 147033 164931 212381 215679 393297 494793 637143 647037 934609 1179891 1704287 1911429 2228683 2803827 4064069 5112861 6686049 8411481 12192207 15338583 20058147 28972879 36576621 52832897 69089173 86918637 158498691 207267519 260755911 475496073 621802557 898159249 2694477747 8083433241