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85804069 = 1329227597
BaseRepresentation
bin1010001110101…
…00010000100101
312222110022001111
411013110100211
5133431212234
612303025021
72061215431
oct507242045
9188408044
1085804069
114448595a
122489b171
1314a13150
14b5779c1
1577ed664
hex51d4425

85804069 has 8 divisors (see below), whose sum is σ = 95591160. Its totient is φ = 76472256.

The previous prime is 85804067. The next prime is 85804087. The reversal of 85804069 is 96040858.

It can be written as a sum of positive squares in 4 ways, for example, as 900 + 85803169 = 30^2 + 9263^2 .

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 85804069 - 21 = 85804067 is a prime.

It is a super-4 number, since 4×858040694 (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85804067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113422 + ... + 114175.

It is an arithmetic number, because the mean of its divisors is an integer number (11948895).

Almost surely, 285804069 is an apocalyptic number.

It is an amenable number.

85804069 is a deficient number, since it is larger than the sum of its proper divisors (9787091).

85804069 is a wasteful number, since it uses less digits than its factorization.

85804069 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227639.

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 85804069 is about 9263.0485802461. The cubic root of 85804069 is about 441.0650318961.

The spelling of 85804069 in words is "eighty-five million, eight hundred four thousand, sixty-nine".

Divisors: 1 13 29 377 227597 2958761 6600313 85804069