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85909449 = 3173753859
BaseRepresentation
bin1010001111011…
…01111111001001
312222122122121110
411013231333021
5133443100244
612305200533
72062134603
oct507557711
9188578543
1085909449
114454804a
1224930149
1314a4c0c2
14b5a4173
15781e9b9
hex51edfc9

85909449 has 32 divisors (see below), whose sum is σ = 127059840. Its totient is φ = 51397632.

The previous prime is 85909441. The next prime is 85909451. The reversal of 85909449 is 94490958.

It is not a de Polignac number, because 85909449 - 23 = 85909441 is a prime.

85909449 is a modest number, since divided by 9449 gives 8590 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 85909398 and 85909407.

It is not an unprimeable number, because it can be changed into a prime (85909441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99582 + ... + 100440.

It is an arithmetic number, because the mean of its divisors is an integer number (3970620).

Almost surely, 285909449 is an apocalyptic number.

It is an amenable number.

85909449 is a deficient number, since it is larger than the sum of its proper divisors (41150391).

85909449 is a wasteful number, since it uses less digits than its factorization.

85909449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969.

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 85909449 is about 9268.7350269603. The cubic root of 85909449 is about 441.2455222416.

The spelling of 85909449 in words is "eighty-five million, nine hundred nine thousand, four hundred forty-nine".

Divisors: 1 3 17 37 51 53 111 159 629 859 901 1887 1961 2577 2703 5883 14603 31783 33337 43809 45527 95349 100011 136581 540311 773959 1620933 1684499 2321877 5053497 28636483 85909449