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85889205 = 32515712157
BaseRepresentation
bin1010001111010…
…01000010110101
312222121121211200
411013221002311
5133441423310
612304523113
72062021563
oct507510265
9188547750
1085889205
1144533916
1224920499
1314a42b1c
14b59aa33
1578189c0
hex51e90b5

85889205 has 24 divisors (see below), whose sum is σ = 149835192. Its totient is φ = 45512064.

The previous prime is 85889201. The next prime is 85889261. The reversal of 85889205 is 50298858.

It can be written as a sum of positive squares in 4 ways, for example, as 400689 + 85488516 = 633^2 + 9246^2 .

It is not a de Polignac number, because 85889205 - 22 = 85889201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85889201) 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 23 ways as a sum of consecutive naturals, for example, 987 + ... + 13143.

It is an arithmetic number, because the mean of its divisors is an integer number (6243133).

Almost surely, 285889205 is an apocalyptic number.

It is an amenable number.

85889205 is a deficient number, since it is larger than the sum of its proper divisors (63945987).

85889205 is a wasteful number, since it uses less digits than its factorization.

85889205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12325 (or 12322 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The square root of 85889205 is about 9267.6429042125. The cubic root of 85889205 is about 441.2108606447.

The spelling of 85889205 in words is "eighty-five million, eight hundred eighty-nine thousand, two hundred five".

Divisors: 1 3 5 9 15 45 157 471 785 1413 2355 7065 12157 36471 60785 109413 182355 547065 1908649 5725947 9543245 17177841 28629735 85889205