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36304949 is a prime number
BaseRepresentation
bin1000101001111…
…1100000110101
32112022111000202
42022133200311
533243224244
63334050245
7620405222
oct212374065
975274022
1036304949
111954749a
12101a9985
1376a1a25
144b70949
1532c204e
hex229f835

36304949 has 2 divisors, whose sum is σ = 36304950. Its totient is φ = 36304948.

The previous prime is 36304913. The next prime is 36304951. The reversal of 36304949 is 94940363.

36304949 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., 36084049 + 220900 = 6007^2 + 470^2 .

It is a cyclic number.

It is not a de Polignac number, because 36304949 - 224 = 19527733 is a prime.

It is a super-5 number, since 5×363049495 (a number of 39 digits) contains 55555 as substring.

It is a Sophie Germain prime.

Together with 36304951, it forms a pair of twin primes.

It is a Chen 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 (36004949) 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, 18152474 + 18152475.

It is an arithmetic number, because the mean of its divisors is an integer number (18152475).

Almost surely, 236304949 is an apocalyptic number.

It is an amenable number.

36304949 is a deficient number, since it is larger than the sum of its proper divisors (1).

36304949 is an equidigital number, since it uses as much as digits as its factorization.

36304949 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69984, while the sum is 38.

The square root of 36304949 is about 6025.3588274890. The cubic root of 36304949 is about 331.1224374615.

The spelling of 36304949 in words is "thirty-six million, three hundred four thousand, nine hundred forty-nine".