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85663085 = 5171007801
BaseRepresentation
bin1010001101100…
…01110101101101
312222012010122212
411012301311231
5133412204320
612300020205
72060060414
oct506616555
9188163585
1085663085
1144399a42
1224831665
1314993c21
14b53c47b
1577c19c5
hex51b1d6d

85663085 has 8 divisors (see below), whose sum is σ = 108842616. Its totient is φ = 64499200.

The previous prime is 85663043. The next prime is 85663099. The reversal of 85663085 is 58036658.

It can be written as a sum of positive squares in 4 ways, for example, as 29398084 + 56265001 = 5422^2 + 7501^2 .

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

It is not a de Polignac number, because 85663085 - 216 = 85597549 is a prime.

It is a super-3 number, since 3×856630853 (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 503816 + ... + 503985.

It is an arithmetic number, because the mean of its divisors is an integer number (13605327).

Almost surely, 285663085 is an apocalyptic number.

85663085 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

85663085 is a deficient number, since it is larger than the sum of its proper divisors (23179531).

85663085 is a wasteful number, since it uses less digits than its factorization.

85663085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007823.

The product of its (nonzero) digits is 172800, while the sum is 41.

The square root of 85663085 is about 9255.4354300595. The cubic root of 85663085 is about 440.8233292906.

The spelling of 85663085 in words is "eighty-five million, six hundred sixty-three thousand, eighty-five".

Divisors: 1 5 17 85 1007801 5039005 17132617 85663085