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85778112 = 263763823
BaseRepresentation
bin1010001110011…
…01111011000000
312222101222110010
411013031323000
5133424344422
612302304520
72061046650
oct507157300
9188358403
1085778112
1144468402
1224888140
1314a043a4
14b56c360
1577e5b0c
hex51cdec0

85778112 has 56 divisors (see below), whose sum is σ = 259380736. Its totient is φ = 24507648.

The previous prime is 85778101. The next prime is 85778113. The reversal of 85778112 is 21187758.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (85778113) 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 7 ways as a sum of consecutive naturals, for example, 30568 + ... + 33255.

Almost surely, 285778112 is an apocalyptic number.

It is an amenable number.

85778112 is an abundant number, since it is smaller than the sum of its proper divisors (173602624).

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

85778112 is a wasteful number, since it uses less digits than its factorization.

85778112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63845 (or 63835 counting only the distinct ones).

The product of its digits is 31360, while the sum is 39.

The square root of 85778112 is about 9261.6473696638. The cubic root of 85778112 is about 441.0205511785.

The spelling of 85778112 in words is "eighty-five million, seven hundred seventy-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 63823 127646 191469 255292 382938 446761 510584 765876 893522 1021168 1340283 1531752 1787044 2042336 2680566 3063504 3574088 4084672 5361132 6127008 7148176 10722264 12254016 14296352 21444528 28592704 42889056 85778112