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85773345 = 3575315413
BaseRepresentation
bin1010001110011…
…00110000100001
312222101201220120
411013030300201
5133424221340
612302230453
72061030030
oct507146041
9188351816
1085773345
1144464869
1224885429
1314a02178
14b56a717
1577e44d0
hex51ccc21

85773345 has 32 divisors (see below), whose sum is σ = 159812352. Its totient is φ = 38468352.

The previous prime is 85773319. The next prime is 85773377. The reversal of 85773345 is 54337758.

It is not a de Polignac number, because 85773345 - 214 = 85756961 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 85773297 and 85773306.

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 31 ways as a sum of consecutive naturals, for example, 2142 + ... + 13271.

It is an arithmetic number, because the mean of its divisors is an integer number (4994136).

Almost surely, 285773345 is an apocalyptic number.

It is an amenable number.

85773345 is a deficient number, since it is larger than the sum of its proper divisors (74039007).

85773345 is a wasteful number, since it uses less digits than its factorization.

85773345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15481.

The product of its digits is 352800, while the sum is 42.

The square root of 85773345 is about 9261.3900144633. The cubic root of 85773345 is about 441.0123813246.

The spelling of 85773345 in words is "eighty-five million, seven hundred seventy-three thousand, three hundred forty-five".

Divisors: 1 3 5 7 15 21 35 53 105 159 265 371 795 1113 1855 5565 15413 46239 77065 107891 231195 323673 539455 816889 1618365 2450667 4084445 5718223 12253335 17154669 28591115 85773345