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42205337 is a prime number
BaseRepresentation
bin1010000100000…
…0000010011001
32221102020211122
42201000002121
541301032322
64104335025
71021511426
oct241000231
987366748
1042205337
1121907549
1212174475
138989595
145868d4d
153a8a442
hex2840099

42205337 has 2 divisors, whose sum is σ = 42205338. Its totient is φ = 42205336.

The previous prime is 42205309. The next prime is 42205369. The reversal of 42205337 is 73350224.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24049216 + 18156121 = 4904^2 + 4261^2 .

It is a cyclic number.

It is not a de Polignac number, because 42205337 - 28 = 42205081 is a prime.

It is not a weakly prime, because it can be changed into another prime (42205637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21102668 + 21102669.

It is an arithmetic number, because the mean of its divisors is an integer number (21102669).

Almost surely, 242205337 is an apocalyptic number.

It is an amenable number.

42205337 is a deficient number, since it is larger than the sum of its proper divisors (1).

42205337 is an equidigital number, since it uses as much as digits as its factorization.

42205337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 26.

The square root of 42205337 is about 6496.5634761772. The cubic root of 42205337 is about 348.1682175459.

It can be divided in two parts, 42 and 205337, that added together give a cube (205379 = 593).

The spelling of 42205337 in words is "forty-two million, two hundred five thousand, three hundred thirty-seven".