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45835781 is a prime number
BaseRepresentation
bin1010111011011…
…0011000000101
310012020200212112
42232312120011
543213221111
64314230405
71064412005
oct256663005
9105220775
1045835781
1123967112
1213425405
13965ab84
146132005
154055e8b
hex2bb6605

45835781 has 2 divisors, whose sum is σ = 45835782. Its totient is φ = 45835780.

The previous prime is 45835759. The next prime is 45835789. The reversal of 45835781 is 18753854.

45835781 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27730756 + 18105025 = 5266^2 + 4255^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-45835781 is a prime.

It is a super-2 number, since 2×458357812 = 4201837639759922, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (45835789) 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 as a sum of consecutive naturals, namely, 22917890 + 22917891.

It is an arithmetic number, because the mean of its divisors is an integer number (22917891).

Almost surely, 245835781 is an apocalyptic number.

It is an amenable number.

45835781 is a deficient number, since it is larger than the sum of its proper divisors (1).

45835781 is an equidigital number, since it uses as much as digits as its factorization.

45835781 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 134400, while the sum is 41.

The square root of 45835781 is about 6770.2127736135. The cubic root of 45835781 is about 357.8778986034.

The spelling of 45835781 in words is "forty-five million, eight hundred thirty-five thousand, seven hundred eighty-one".