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42241 = 53797
BaseRepresentation
bin1010010100000001
32010221111
422110001
52322431
6523321
7234103
oct122401
963844
1042241
1129811
1220541
13162c4
1411573
15c7b1
hexa501

42241 has 4 divisors (see below), whose sum is σ = 43092. Its totient is φ = 41392.

The previous prime is 42239. The next prime is 42257. The reversal of 42241 is 14224.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 25600 + 16641 = 160^2 + 129^2 .

It is a cyclic number.

It is not a de Polignac number, because 42241 - 21 = 42239 is a prime.

It is a d-powerful number, because it can be written as 44 + 213 + 215 + 45 + 1 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 346 + ... + 451.

It is an arithmetic number, because the mean of its divisors is an integer number (10773).

It is a Proth number, since it is equal to 165 ⋅ 28 + 1 and 165 < 28.

242241 is an apocalyptic number.

It is an amenable number.

42241 is a deficient number, since it is larger than the sum of its proper divisors (851).

42241 is an equidigital number, since it uses as much as digits as its factorization.

42241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850.

The product of its digits is 64, while the sum is 13.

The square root of 42241 is about 205.5261540534. The cubic root of 42241 is about 34.8266255917.

Adding to 42241 its reverse (14224), we get a palindrome (56465).

It can be divided in two parts, 4224 and 1, that added together give a square (4225 = 652).

The spelling of 42241 in words is "forty-two thousand, two hundred forty-one", and thus it is an iban number.

Divisors: 1 53 797 42241