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85688149 is a prime number
BaseRepresentation
bin1010001101101…
…11111101010101
312222020102001011
411012313331111
5133414010044
612300332221
72060223451
oct506677525
9188212034
1085688149
1144406858
1224844071
13149a2461
14b547661
1577c9134
hex51b7f55

85688149 has 2 divisors, whose sum is σ = 85688150. Its totient is φ = 85688148.

The previous prime is 85688147. The next prime is 85688167. The reversal of 85688149 is 94188658.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85655025 + 33124 = 9255^2 + 182^2 .

It is a cyclic number.

It is not a de Polignac number, because 85688149 - 21 = 85688147 is a prime.

Together with 85688147, 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 (85688147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42844074 + 42844075.

It is an arithmetic number, because the mean of its divisors is an integer number (42844075).

Almost surely, 285688149 is an apocalyptic number.

It is an amenable number.

85688149 is a deficient number, since it is larger than the sum of its proper divisors (1).

85688149 is an equidigital number, since it uses as much as digits as its factorization.

85688149 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 552960, while the sum is 49.

The square root of 85688149 is about 9256.7893462042. The cubic root of 85688149 is about 440.8663183196.

The spelling of 85688149 in words is "eighty-five million, six hundred eighty-eight thousand, one hundred forty-nine".