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85850969 = 1714933893
BaseRepresentation
bin1010001110111…
…11101101011001
312222112200101112
411013133231121
5133434212334
612304030105
72061502241
oct507375531
9188480345
1085850969
1144508116
1224902335
1314a2b5b9
14b58ab21
15780c4ce
hex51dfb59

85850969 has 8 divisors (see below), whose sum is σ = 91513800. Its totient is φ = 80256256.

The previous prime is 85850957. The next prime is 85850971. The reversal of 85850969 is 96905858.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 16711744 + 69139225 = 4088^2 + 8315^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 85850969 - 24 = 85850953 is a prime.

It is a super-2 number, since 2×858509692 = 14740777756477922, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (85850669) 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 in 7 ways as a sum of consecutive naturals, for example, 14414 + ... + 19479.

It is an arithmetic number, because the mean of its divisors is an integer number (11439225).

Almost surely, 285850969 is an apocalyptic number.

It is an amenable number.

85850969 is a deficient number, since it is larger than the sum of its proper divisors (5662831).

85850969 is a wasteful number, since it uses less digits than its factorization.

85850969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34059.

The product of its (nonzero) digits is 777600, while the sum is 50.

The square root of 85850969 is about 9265.5797983720. The cubic root of 85850969 is about 441.1453784439.

The spelling of 85850969 in words is "eighty-five million, eight hundred fifty thousand, nine hundred sixty-nine".

Divisors: 1 17 149 2533 33893 576181 5050057 85850969