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85828035 = 3519401751
BaseRepresentation
bin1010001110110…
…10000111000011
312222111111221010
411013122013003
5133432444120
612303332003
72061345336
oct507320703
9188444833
1085828035
11444a1967
12248b1003
1314a21027
14b58261d
1578057e0
hex51da1c3

85828035 has 32 divisors (see below), whose sum is σ = 145105920. Its totient is φ = 43200000.

The previous prime is 85828033. The next prime is 85828051. The reversal of 85828035 is 53082858.

It is not a de Polignac number, because 85828035 - 21 = 85828033 is a prime.

It is a super-2 number, since 2×858280352 = 14732903183922450, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 85827984 and 85828002.

It is not an unprimeable number, because it can be changed into a prime (85828031) 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 31 ways as a sum of consecutive naturals, for example, 113910 + ... + 114660.

It is an arithmetic number, because the mean of its divisors is an integer number (4534560).

Almost surely, 285828035 is an apocalyptic number.

85828035 is a deficient number, since it is larger than the sum of its proper divisors (59277885).

85828035 is a wasteful number, since it uses less digits than its factorization.

85828035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179.

The product of its (nonzero) digits is 76800, while the sum is 39.

The square root of 85828035 is about 9264.3421245116. The cubic root of 85828035 is about 441.1060928103.

The spelling of 85828035 in words is "eighty-five million, eight hundred twenty-eight thousand, thirty-five".

Divisors: 1 3 5 15 19 57 95 285 401 751 1203 2005 2253 3755 6015 7619 11265 14269 22857 38095 42807 71345 114285 214035 301151 903453 1505755 4517265 5721869 17165607 28609345 85828035