Search a number
-
+
3385986625 = 53731432903
BaseRepresentation
bin1100100111010010…
…0000111001000001
322201222022221110001
43021310200321001
523413303033000
61315553240001
7146623261060
oct31164407101
98658287401
103385986625
11148833495a
127a5b63001
1341c65a5a8
142419a01d7
1514c3da46a
hexc9d20e41

3385986625 has 64 divisors (see below), whose sum is σ = 5102862336. Its totient is φ = 2193912000.

The previous prime is 3385986619. The next prime is 3385986641. The reversal of 3385986625 is 5266895833.

It is not a de Polignac number, because 3385986625 - 29 = 3385986113 is a prime.

It is a super-2 number, since 2×33859866252 = 22929810849357781250, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1164924 + ... + 1167826.

It is an arithmetic number, because the mean of its divisors is an integer number (79732224).

Almost surely, 23385986625 is an apocalyptic number.

3385986625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3385986625 is a deficient number, since it is larger than the sum of its proper divisors (1716875711).

3385986625 is a wasteful number, since it uses less digits than its factorization.

3385986625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2999 (or 2989 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 55.

The square root of 3385986625 is about 58189.2311772548. The cubic root of 3385986625 is about 1501.6258851763.

The spelling of 3385986625 in words is "three billion, three hundred eighty-five million, nine hundred eighty-six thousand, six hundred twenty-five".

Divisors: 1 5 7 25 31 35 43 125 155 175 215 217 301 775 875 1075 1085 1333 1505 2903 3875 5375 5425 6665 7525 9331 14515 20321 27125 33325 37625 46655 72575 89993 101605 124829 166625 233275 362875 449965 508025 624145 629951 873803 1166375 2249825 2540125 3120725 3149755 3869699 4369015 11249125 15603625 15748775 19348495 21845075 27087893 78743875 96742475 109225375 135439465 483712375 677197325 3385986625