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4005441 = 321140459
BaseRepresentation
bin1111010001111001000001
321112111102200
433101321001
52011133231
6221503413
746021446
oct17217101
97474380
104005441
112296390
121411b69
13aa31ab
147639cd
15541be6
hex3d1e41

4005441 has 12 divisors (see below), whose sum is σ = 6311760. Its totient is φ = 2427480.

The previous prime is 4005433. The next prime is 4005457. The reversal of 4005441 is 1445004.

4005441 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 4005441 - 23 = 4005433 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4005241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20131 + ... + 20328.

It is an arithmetic number, because the mean of its divisors is an integer number (525980).

Almost surely, 24005441 is an apocalyptic number.

It is an amenable number.

4005441 is a deficient number, since it is larger than the sum of its proper divisors (2306319).

4005441 is a wasteful number, since it uses less digits than its factorization.

4005441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40476 (or 40473 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 4005441 is about 2001.3597877443. The cubic root of 4005441 is about 158.8120479960.

The spelling of 4005441 in words is "four million, five thousand, four hundred forty-one".

Divisors: 1 3 9 11 33 99 40459 121377 364131 445049 1335147 4005441