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42003441 = 34618501
BaseRepresentation
bin1010000000111…
…0101111110001
32221000222220000
42200032233301
541223102231
64100140213
71020011004
oct240165761
987028800
1042003441
1121789897
1212097669
13891870c
14581553b
153a4a6e6
hex280ebf1

42003441 has 20 divisors (see below), whose sum is σ = 63782004. Its totient is φ = 27540000.

The previous prime is 42003421. The next prime is 42003463. The reversal of 42003441 is 14430024.

42003441 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 2313441 + 39690000 = 1521^2 + 6300^2 .

It is not a de Polignac number, because 42003441 - 29 = 42002929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42003421) 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 19 ways as a sum of consecutive naturals, for example, 691 + ... + 9191.

Almost surely, 242003441 is an apocalyptic number.

It is an amenable number.

42003441 is a deficient number, since it is larger than the sum of its proper divisors (21778563).

42003441 is an equidigital number, since it uses as much as digits as its factorization.

42003441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8574 (or 8565 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 42003441 is about 6481.0061718841. The cubic root of 42003441 is about 347.6121570927.

Adding to 42003441 its reverse (14430024), we get a palindrome (56433465).

The spelling of 42003441 in words is "forty-two million, three thousand, four hundred forty-one".

Divisors: 1 3 9 27 61 81 183 549 1647 4941 8501 25503 76509 229527 518561 688581 1555683 4667049 14001147 42003441