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2442141 = 321320873
BaseRepresentation
bin1001010100001110011101
311121001222200
421110032131
51111122031
6124202113
726520642
oct11241635
94531880
102442141
1114188a9
12999339
13676770
14477dc9
153338e6
hex25439d

2442141 has 12 divisors (see below), whose sum is σ = 3799068. Its totient is φ = 1502784.

The previous prime is 2442133. The next prime is 2442151. The reversal of 2442141 is 1412442.

2442141 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 562500 + 1879641 = 750^2 + 1371^2 .

It is not a de Polignac number, because 2442141 - 23 = 2442133 is a prime.

2442141 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2442151) 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, 10320 + ... + 10553.

It is an arithmetic number, because the mean of its divisors is an integer number (316589).

22442141 is an apocalyptic number.

It is an amenable number.

2442141 is a deficient number, since it is larger than the sum of its proper divisors (1356927).

2442141 is a wasteful number, since it uses less digits than its factorization.

2442141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20892 (or 20889 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 2442141 is about 1562.7351023126. The cubic root of 2442141 is about 134.6656747904.

Adding to 2442141 its reverse (1412442), we get a palindrome (3854583).

The spelling of 2442141 in words is "two million, four hundred forty-two thousand, one hundred forty-one".

Divisors: 1 3 9 13 39 117 20873 62619 187857 271349 814047 2442141