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36287441 is a prime number
BaseRepresentation
bin1000101001101…
…1001111010001
32112021121000022
42022123033101
533242144231
63333433225
7620303201
oct212331721
975247008
1036287441
1119535323
121019b815
137696a78
144b68401
1532bbc7b
hex229b3d1

36287441 has 2 divisors, whose sum is σ = 36287442. Its totient is φ = 36287440.

The previous prime is 36287437. The next prime is 36287467. The reversal of 36287441 is 14478263.

36287441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18309841 + 17977600 = 4279^2 + 4240^2 .

It is an emirp because it is prime and its reverse (14478263) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36287441 - 22 = 36287437 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (36284441) 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, 18143720 + 18143721.

It is an arithmetic number, because the mean of its divisors is an integer number (18143721).

Almost surely, 236287441 is an apocalyptic number.

It is an amenable number.

36287441 is a deficient number, since it is larger than the sum of its proper divisors (1).

36287441 is an equidigital number, since it uses as much as digits as its factorization.

36287441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 32256, while the sum is 35.

The square root of 36287441 is about 6023.9057927561. The cubic root of 36287441 is about 331.0692011585.

The spelling of 36287441 in words is "thirty-six million, two hundred eighty-seven thousand, four hundred forty-one".