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4083834352 = 2413311274987
BaseRepresentation
bin1111001101101010…
…0101110111110000
3101112121110021120011
43303122211313300
531330430144402
61513122424304
7203126006413
oct36332456760
911477407504
104083834352
111806244214
1295b802094
135010c5140
142aa537b7a
1518d7d4ed7
hexf36a5df0

4083834352 has 80 divisors (see below), whose sum is σ = 8866988032. Its totient is φ = 1809319680.

The previous prime is 4083834301. The next prime is 4083834353. The reversal of 4083834352 is 2534383804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4083834353) 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 15 ways as a sum of consecutive naturals, for example, 816403 + ... + 821389.

Almost surely, 24083834352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4083834352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4433494016).

4083834352 is an abundant number, since it is smaller than the sum of its proper divisors (4783153680).

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

4083834352 is a wasteful number, since it uses less digits than its factorization.

4083834352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5166 (or 5160 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The square root of 4083834352 is about 63904.8851966733. The cubic root of 4083834352 is about 1598.4143603609.

The spelling of 4083834352 in words is "four billion, eighty-three million, eight hundred thirty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 31 52 62 104 124 127 208 248 254 403 496 508 806 1016 1612 1651 2032 3224 3302 3937 4987 6448 6604 7874 9974 13208 15748 19948 26416 31496 39896 51181 62992 64831 79792 102362 129662 154597 204724 259324 309194 409448 518648 618388 633349 818896 1037296 1236776 1266698 2009761 2473552 2533396 4019522 5066792 8039044 8233537 10133584 16078088 16467074 19633819 32156176 32934148 39267638 65868296 78535276 131736592 157070552 255239647 314141104 510479294 1020958588 2041917176 4083834352