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42090201 = 3237126397
BaseRepresentation
bin1010000010001…
…1111011011001
32221012101220100
42200203323121
541233341301
64102050013
71020521646
oct240437331
987171810
1042090201
1121838a9a
1212119909
13894905a
145838dcd
153a66286
hex2823ed9

42090201 has 12 divisors (see below), whose sum is σ = 62440612. Its totient is φ = 27301536.

The previous prime is 42090199. The next prime is 42090227. The reversal of 42090201 is 10209024.

42090201 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 24651225 + 17438976 = 4965^2 + 4176^2 .

It is not a de Polignac number, because 42090201 - 21 = 42090199 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42090101) 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 11 ways as a sum of consecutive naturals, for example, 62866 + ... + 63531.

Almost surely, 242090201 is an apocalyptic number.

It is an amenable number.

42090201 is a deficient number, since it is larger than the sum of its proper divisors (20350411).

42090201 is a wasteful number, since it uses less digits than its factorization.

42090201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126440 (or 126437 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 42090201 is about 6487.6961242031. The cubic root of 42090201 is about 347.8513286861.

Adding to 42090201 its reverse (10209024), we get a palindrome (52299225).

The spelling of 42090201 in words is "forty-two million, ninety thousand, two hundred one".

Divisors: 1 3 9 37 111 333 126397 379191 1137573 4676689 14030067 42090201