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42414021 = 32131572309
BaseRepresentation
bin1010000111001…
…0111111000101
32221210212002200
42201302333011
541324222041
64113025113
71023341016
oct241627705
987725080
1042414021
1121a3a311
1212255199
138a30570
1458c100d
153acc1b6
hex2872fc5

42414021 has 24 divisors (see below), whose sum is σ = 66426360. Its totient is φ = 25923456.

The previous prime is 42414017. The next prime is 42414077. The reversal of 42414021 is 12041424.

It can be written as a sum of positive squares in 4 ways, for example, as 3101121 + 39312900 = 1761^2 + 6270^2 .

It is not a de Polignac number, because 42414021 - 22 = 42414017 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 42413985 and 42414003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42414011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17215 + ... + 19523.

It is an arithmetic number, because the mean of its divisors is an integer number (2767765).

Almost surely, 242414021 is an apocalyptic number.

It is an amenable number.

42414021 is a deficient number, since it is larger than the sum of its proper divisors (24012339).

42414021 is a wasteful number, since it uses less digits than its factorization.

42414021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2485 (or 2482 counting only the distinct ones).

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

The square root of 42414021 is about 6512.6047784278. The cubic root of 42414021 is about 348.7411128116.

Adding to 42414021 its reverse (12041424), we get a palindrome (54455445).

The spelling of 42414021 in words is "forty-two million, four hundred fourteen thousand, twenty-one".

Divisors: 1 3 9 13 39 117 157 471 1413 2041 2309 6123 6927 18369 20781 30017 90051 270153 362513 1087539 3262617 4712669 14138007 42414021