Search a number
-
+
41165685 = 33511191459
BaseRepresentation
bin1001110100001…
…0001101110101
32212110102201000
42131002031311
541014300220
64030153513
71006621401
oct235021565
985412630
1041165685
1121267430
1211952899
1386b42c2
145678101
153932390
hex2742375

41165685 has 64 divisors (see below), whose sum is σ = 84096000. Its totient is φ = 18895680.

The previous prime is 41165669. The next prime is 41165689. The reversal of 41165685 is 58656114.

41165685 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 41165685 - 24 = 41165669 is a prime.

It is a super-2 number, since 2×411656852 = 3389227243038450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41165689) by changing a digit.

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, 27486 + ... + 28944.

It is an arithmetic number, because the mean of its divisors is an integer number (1314000).

Almost surely, 241165685 is an apocalyptic number.

41165685 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

41165685 is an abundant number, since it is smaller than the sum of its proper divisors (42930315).

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

41165685 is a wasteful number, since it uses less digits than its factorization.

41165685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503 (or 1497 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 41165685 is about 6416.0490178926. The cubic root of 41165685 is about 345.2855858373.

It can be divided in two parts, 4116 and 5685, that added together give a square (9801 = 992).

The spelling of 41165685 in words is "forty-one million, one hundred sixty-five thousand, six hundred eighty-five".

Divisors: 1 3 5 9 11 15 19 27 33 45 55 57 95 99 135 165 171 209 285 297 495 513 627 855 1045 1459 1485 1881 2565 3135 4377 5643 7295 9405 13131 16049 21885 27721 28215 39393 48147 65655 80245 83163 138605 144441 196965 240735 249489 304931 415815 433323 722205 748467 914793 1247445 1524655 2166615 2744379 3742335 4573965 8233137 13721895 41165685