Search a number
-
+
43705109 = 722413701
BaseRepresentation
bin1010011010111…
…0001100010101
310001020110010202
42212232030111
542142030414
64200430245
71040326100
oct246561425
9101213122
1043705109
1122741328
1212778385
139093116
145b39737
153c849de
hex29ae315

43705109 has 12 divisors (see below), whose sum is σ = 51065388. Its totient is φ = 37296000.

The previous prime is 43705093. The next prime is 43705153. The reversal of 43705109 is 90150734.

43705109 is digitally balanced in base 2, 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 2 ways, for example, as 25472209 + 18232900 = 5047^2 + 4270^2 .

It is not a de Polignac number, because 43705109 - 24 = 43705093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43705169) 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 11 ways as a sum of consecutive naturals, for example, 9959 + ... + 13659.

It is an arithmetic number, because the mean of its divisors is an integer number (4255449).

Almost surely, 243705109 is an apocalyptic number.

43705109 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

43705109 is a deficient number, since it is larger than the sum of its proper divisors (7360279).

43705109 is a wasteful number, since it uses less digits than its factorization.

43705109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3956 (or 3949 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 43705109 is about 6610.9839660976. The cubic root of 43705109 is about 352.2443771546.

The spelling of 43705109 in words is "forty-three million, seven hundred five thousand, one hundred nine".

Divisors: 1 7 49 241 1687 3701 11809 25907 181349 891941 6243587 43705109