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85679776 = 2571329423
BaseRepresentation
bin1010001101101…
…01111010100000
312222012222120001
411012311322200
5133413223101
612300225344
72060160160
oct506657240
9188188501
1085679776
1144400536
122483b254
131499b6c0
14b5445a0
1577c6901
hex51b5ea0

85679776 has 48 divisors (see below), whose sum is σ = 207615744. Its totient is φ = 33894144.

The previous prime is 85679773. The next prime is 85679819. The reversal of 85679776 is 67797658.

It is not an unprimeable number, because it can be changed into a prime (85679771) 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, 11800 + ... + 17623.

It is an arithmetic number, because the mean of its divisors is an integer number (4325328).

Almost surely, 285679776 is an apocalyptic number.

It is an amenable number.

85679776 is an abundant number, since it is smaller than the sum of its proper divisors (121935968).

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

85679776 is a wasteful number, since it uses less digits than its factorization.

85679776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29453 (or 29445 counting only the distinct ones).

The product of its digits is 4445280, while the sum is 55.

The square root of 85679776 is about 9256.3370725142. The cubic root of 85679776 is about 440.8519581310.

The spelling of 85679776 in words is "eighty-five million, six hundred seventy-nine thousand, seven hundred seventy-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2912 29423 58846 117692 205961 235384 382499 411922 470768 764998 823844 941536 1529996 1647688 2677493 3059992 3295376 5354986 6119984 6590752 10709972 12239968 21419944 42839888 85679776