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55085309 is a prime number
BaseRepresentation
bin1101001000100…
…0100011111101
310211122121211122
43102020203331
5103100212214
65244400325
71236134366
oct322104375
9124577748
1055085309
1129104454
12165460a5
13b548c76
14745cb6d
154c8188e
hex34888fd

55085309 has 2 divisors, whose sum is σ = 55085310. Its totient is φ = 55085308.

The previous prime is 55085249. The next prime is 55085399. The reversal of 55085309 is 90358055.

55085309 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., 54804409 + 280900 = 7403^2 + 530^2 .

It is a cyclic number.

It is not a de Polignac number, because 55085309 - 224 = 38308093 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (55085399) 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, 27542654 + 27542655.

It is an arithmetic number, because the mean of its divisors is an integer number (27542655).

Almost surely, 255085309 is an apocalyptic number.

It is an amenable number.

55085309 is a deficient number, since it is larger than the sum of its proper divisors (1).

55085309 is an equidigital number, since it uses as much as digits as its factorization.

55085309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27000, while the sum is 35.

The square root of 55085309 is about 7421.9477901694. The cubic root of 55085309 is about 380.4917663669.

The spelling of 55085309 in words is "fifty-five million, eighty-five thousand, three hundred nine".