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85693008 = 2432118461
BaseRepresentation
bin1010001101110…
…01001001010000
312222020122201010
411012321021100
5133414134013
612300410520
72060243562
oct506711120
9188218633
1085693008
114440a475
1224846a40
13149a472b
14b549332
1577ca7c3
hex51b9250

85693008 has 40 divisors (see below), whose sum is σ = 222449056. Its totient is φ = 28425600.

The previous prime is 85692991. The next prime is 85693019. The reversal of 85693008 is 80039658.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 5898 + ... + 14358.

Almost surely, 285693008 is an apocalyptic number.

It is an amenable number.

85693008 is an abundant number, since it is smaller than the sum of its proper divisors (136756048).

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

85693008 is a wasteful number, since it uses less digits than its factorization.

85693008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8683 (or 8677 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 85693008 is about 9257.0517984939. The cubic root of 85693008 is about 440.8746513620.

The spelling of 85693008 in words is "eighty-five million, six hundred ninety-three thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 211 422 633 844 1266 1688 2532 3376 5064 8461 10128 16922 25383 33844 50766 67688 101532 135376 203064 406128 1785271 3570542 5355813 7141084 10711626 14282168 21423252 28564336 42846504 85693008