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85208064 = 210327737
BaseRepresentation
bin1010001010000…
…10110000000000
312221100000111020
411011002300000
5133303124224
612242145440
72053154004
oct505026000
9187300436
1085208064
1144109097
1224652280
1314864a96
14b460704
157731c79
hex5142c00

85208064 has 44 divisors (see below), whose sum is σ = 227118744. Its totient is φ = 28401664.

The previous prime is 85208051. The next prime is 85208083. The reversal of 85208064 is 46080258.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10797 + ... + 16940.

Almost surely, 285208064 is an apocalyptic number.

It is an amenable number.

85208064 is an abundant number, since it is smaller than the sum of its proper divisors (141910680).

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

85208064 is a wasteful number, since it uses less digits than its factorization.

85208064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27760 (or 27742 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 85208064 is about 9230.8214152371. The cubic root of 85208064 is about 440.0414286060.

The spelling of 85208064 in words is "eighty-five million, two hundred eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 3072 27737 55474 83211 110948 166422 221896 332844 443792 665688 887584 1331376 1775168 2662752 3550336 5325504 7100672 10651008 14201344 21302016 28402688 42604032 85208064