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85824036 = 2234264889
BaseRepresentation
bin1010001110110…
…01001000100100
312222111022110000
411013121020210
5133432332121
612303301300
72061330564
oct507311044
9188438400
1085824036
1144499961
12248aa830
1314a1c26c
14b580da4
157804526
hex51d9224

85824036 has 30 divisors (see below), whose sum is σ = 224361830. Its totient is φ = 28607904.

The previous prime is 85824031. The next prime is 85824059. The reversal of 85824036 is 63042858.

85824036 is a `hidden beast` number, since 8 + 582 + 40 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 62726400 + 23097636 = 7920^2 + 4806^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (85824031) 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 9 ways as a sum of consecutive naturals, for example, 132121 + ... + 132768.

Almost surely, 285824036 is an apocalyptic number.

It is an amenable number.

85824036 is an abundant number, since it is smaller than the sum of its proper divisors (138537794).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85824036 is a wasteful number, since it uses less digits than its factorization.

85824036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264905 (or 264894 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 85824036 is about 9264.1262944759. The cubic root of 85824036 is about 441.0992418606.

The spelling of 85824036 in words is "eighty-five million, eight hundred twenty-four thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 264889 529778 794667 1059556 1589334 2384001 3178668 4768002 7152003 9536004 14304006 21456009 28608012 42912018 85824036