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85825805 = 5134601
BaseRepresentation
bin1010001110110…
…01100100001101
312222111101212112
411013121210031
5133432411210
612303313405
72061336002
oct507314415
9188441775
1085825805
11444a021a
12248ab865
1314a20000
14b5818a9
157804d05
hex51d990d

85825805 has 20 divisors (see below), whose sum is σ = 111758892. Its totient is φ = 63273600.

The previous prime is 85825801. The next prime is 85825813. The reversal of 85825805 is 50852858.

It can be written as a sum of positive squares in 10 ways, for example, as 84584809 + 1240996 = 9197^2 + 1114^2 .

It is not a de Polignac number, because 85825805 - 22 = 85825801 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85825801) 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 in 19 ways as a sum of consecutive naturals, for example, 142505 + ... + 143105.

Almost surely, 285825805 is an apocalyptic number.

It is an amenable number.

85825805 is a deficient number, since it is larger than the sum of its proper divisors (25933087).

85825805 is an frugal number, since it uses more digits than its factorization.

85825805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 41.

The square root of 85825805 is about 9264.2217697980. The cubic root of 85825805 is about 441.1022724770.

The spelling of 85825805 in words is "eighty-five million, eight hundred twenty-five thousand, eight hundred five".

Divisors: 1 5 13 65 169 601 845 2197 3005 7813 10985 28561 39065 101569 142805 507845 1320397 6601985 17165161 85825805