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42142205 = 572172009
BaseRepresentation
bin1010000011000…
…0100111111101
32221022001020102
42200300213331
541242022310
64103130445
71021126400
oct240604775
987261212
1042142205
1121874076
1212143a25
138966921
14584dd37
153a768a5
hex28309fd

42142205 has 12 divisors (see below), whose sum is σ = 58827420. Its totient is φ = 28897344.

The previous prime is 42142181. The next prime is 42142207. The reversal of 42142205 is 50224124.

It is a happy number.

42142205 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 22259524 + 19882681 = 4718^2 + 4459^2 .

It is not a de Polignac number, because 42142205 - 214 = 42125821 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42142207) 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, 85760 + ... + 86249.

It is an arithmetic number, because the mean of its divisors is an integer number (4902285).

Almost surely, 242142205 is an apocalyptic number.

It is an amenable number.

42142205 is a deficient number, since it is larger than the sum of its proper divisors (16685215).

42142205 is a wasteful number, since it uses less digits than its factorization.

42142205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172028 (or 172021 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 42142205 is about 6491.7027812431. The cubic root of 42142205 is about 347.9945307856.

Adding to 42142205 its reverse (50224124), we get a palindrome (92366329).

The spelling of 42142205 in words is "forty-two million, one hundred forty-two thousand, two hundred five".

Divisors: 1 5 7 35 49 245 172009 860045 1204063 6020315 8428441 42142205