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85819985 = 553615309
BaseRepresentation
bin1010001110110…
…00001001010001
312222111002212222
411013120021101
5133432214420
612303230425
72061313016
oct507301121
9188432788
1085819985
1144496909
12248a8415
1314a1a474
14b57d70d
157803225
hex51d8251

85819985 has 16 divisors (see below), whose sum is σ = 106667280. Its totient is φ = 66243840.

The previous prime is 85819963. The next prime is 85820023. The reversal of 85819985 is 58991858.

It can be written as a sum of positive squares in 8 ways, for example, as 29149201 + 56670784 = 5399^2 + 7528^2 .

It is not a de Polignac number, because 85819985 - 210 = 85818961 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 13511 + ... + 18819.

It is an arithmetic number, because the mean of its divisors is an integer number (6666705).

Almost surely, 285819985 is an apocalyptic number.

It is an amenable number.

85819985 is a deficient number, since it is larger than the sum of its proper divisors (20847295).

85819985 is a wasteful number, since it uses less digits than its factorization.

85819985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5428.

The product of its digits is 1036800, while the sum is 53.

The square root of 85819985 is about 9263.9076528212. The cubic root of 85819985 is about 441.0923016092.

The spelling of 85819985 in words is "eighty-five million, eight hundred nineteen thousand, nine hundred eighty-five".

Divisors: 1 5 53 61 265 305 3233 5309 16165 26545 281377 323849 1406885 1619245 17163997 85819985