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3883252009 = 72133726173
BaseRepresentation
bin1110011101110101…
…1011100100101001
3101000122000122022111
43213131123210221
530423103031014
61441155322321
7165142045300
oct34735334451
911018018274
103883252009
111712aa378a
129045b03a1
1349b695a70
1428ba43437
1517adb32c4
hexe775b929

3883252009 has 72 divisors (see below), whose sum is σ = 5151342168. Its totient is φ = 2900136960.

The previous prime is 3883251997. The next prime is 3883252033. The reversal of 3883252009 is 9002523883.

It can be written as a sum of positive squares in 12 ways, for example, as 591705625 + 3291546384 = 24325^2 + 57372^2 .

It is not a de Polignac number, because 3883252009 - 27 = 3883251881 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3883252609) 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, 53195197 + ... + 53195269.

It is an arithmetic number, because the mean of its divisors is an integer number (71546419).

Almost surely, 23883252009 is an apocalyptic number.

It is an amenable number.

3883252009 is a deficient number, since it is larger than the sum of its proper divisors (1268090159).

3883252009 is a wasteful number, since it uses less digits than its factorization.

3883252009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 3883252009 is about 62315.7444712009. The cubic root of 3883252009 is about 1571.8044905793.

The spelling of 3883252009 in words is "three billion, eight hundred eighty-three million, two hundred fifty-two thousand, nine".

Divisors: 1 7 13 37 49 61 73 91 259 427 481 511 637 793 949 1369 1813 2257 2701 2989 3367 3577 4453 5551 6643 9583 15799 17797 18907 23569 29341 31171 35113 38857 46501 57889 67081 83509 99937 110593 124579 132349 164761 205387 218197 245791 405223 584563 699559 872053 1085617 1153327 1299181 1437709 1720537 2141893 2836561 4091941 4896913 6096157 7599319 8073289 9094267 14993251 42673099 53195233 63659869 79250041 104952757 298711693 554750287 3883252009