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42121444 = 22171016133
BaseRepresentation
bin1010000010101…
…1100011100100
32221020222202111
42200223203210
541240341234
64102450404
71021012021
oct240534344
987228674
1042121444
112185a512
1212133a04
13895a341
145846548
153a70664
hex282b8e4

42121444 has 24 divisors (see below), whose sum is σ = 78834168. Its totient is φ = 19622400.

The previous prime is 42121399. The next prime is 42121459. The reversal of 42121444 is 44412124.

It can be written as a sum of positive squares in 4 ways, for example, as 34668544 + 7452900 = 5888^2 + 2730^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3802 + ... + 9934.

It is an arithmetic number, because the mean of its divisors is an integer number (3284757).

Almost surely, 242121444 is an apocalyptic number.

It is an amenable number.

42121444 is a deficient number, since it is larger than the sum of its proper divisors (36712724).

42121444 is a wasteful number, since it uses less digits than its factorization.

42121444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6255 (or 6253 counting only the distinct ones).

The product of its digits is 1024, while the sum is 22.

The square root of 42121444 is about 6490.1035430877. The cubic root of 42121444 is about 347.9373758805.

Adding to 42121444 its reverse (44412124), we get a palindrome (86533568).

The spelling of 42121444 in words is "forty-two million, one hundred twenty-one thousand, four hundred forty-four".

Divisors: 1 2 4 17 34 68 101 202 404 1717 3434 6133 6868 12266 24532 104261 208522 417044 619433 1238866 2477732 10530361 21060722 42121444