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4115241 = 3213172069
BaseRepresentation
bin1111101100101100101001
321202002001100
433230230221
52023141431
6224112013
746656534
oct17545451
97662040
104115241
112360929
121465609
13b11170
14791a1b
155644e6
hex3ecb29

4115241 has 24 divisors (see below), whose sum is σ = 6781320. Its totient is φ = 2382336.

The previous prime is 4115239. The next prime is 4115249. The reversal of 4115241 is 1425114.

It can be written as a sum of positive squares in 4 ways, for example, as 99225 + 4016016 = 315^2 + 2004^2 .

It is not a de Polignac number, because 4115241 - 21 = 4115239 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4115249) 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 23 ways as a sum of consecutive naturals, for example, 955 + ... + 3023.

It is an arithmetic number, because the mean of its divisors is an integer number (282555).

Almost surely, 24115241 is an apocalyptic number.

It is an amenable number.

4115241 is a deficient number, since it is larger than the sum of its proper divisors (2666079).

4115241 is a wasteful number, since it uses less digits than its factorization.

4115241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2105 (or 2102 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 4115241 is about 2028.6056787853. The cubic root of 4115241 is about 160.2501425797.

It can be divided in two parts, 4115 and 241, that added together give a square (4356 = 662).

The spelling of 4115241 in words is "four million, one hundred fifteen thousand, two hundred forty-one".

Divisors: 1 3 9 13 17 39 51 117 153 221 663 1989 2069 6207 18621 26897 35173 80691 105519 242073 316557 457249 1371747 4115241