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42735181 is a prime number
BaseRepresentation
bin1010001100000…
…1011001001101
32222102011122111
42203001121031
541420011211
64123544021
71026146236
oct243013115
988364574
1042735181
1122139635
121238b011
138b137b8
14596608d
153b42421
hex28c164d

42735181 has 2 divisors, whose sum is σ = 42735182. Its totient is φ = 42735180.

The previous prime is 42735179. The next prime is 42735191. The reversal of 42735181 is 18153724.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 42693156 + 42025 = 6534^2 + 205^2 .

It is a cyclic number.

It is not a de Polignac number, because 42735181 - 21 = 42735179 is a prime.

It is a super-2 number, since 2×427351812 = 3652591390205522, which contains 22 as substring.

Together with 42735179, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42735101) by changing a digit.

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 as a sum of consecutive naturals, namely, 21367590 + 21367591.

It is an arithmetic number, because the mean of its divisors is an integer number (21367591).

Almost surely, 242735181 is an apocalyptic number.

It is an amenable number.

42735181 is a deficient number, since it is larger than the sum of its proper divisors (1).

42735181 is an equidigital number, since it uses as much as digits as its factorization.

42735181 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6720, while the sum is 31.

The square root of 42735181 is about 6537.2150798333. The cubic root of 42735181 is about 349.6191258146.

The spelling of 42735181 in words is "forty-two million, seven hundred thirty-five thousand, one hundred eighty-one".