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85220064 = 2532295903
BaseRepresentation
bin1010001010001…
…01101011100000
312221100121221200
411011011223200
5133304020224
612242321200
72053233666
oct505055340
9187317850
1085220064
1144117106
1224659200
131486a397
14b464c36
1577355c9
hex5145ae0

85220064 has 36 divisors (see below), whose sum is σ = 242345376. Its totient is φ = 28406592.

The previous prime is 85220039. The next prime is 85220087. The reversal of 85220064 is 46002258.

It is a tau number, because it is divible by the number of its divisors (36).

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 5 ways as a sum of consecutive naturals, for example, 147664 + ... + 148239.

It is an arithmetic number, because the mean of its divisors is an integer number (6731816).

Almost surely, 285220064 is an apocalyptic number.

It is an amenable number.

85220064 is an abundant number, since it is smaller than the sum of its proper divisors (157125312).

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

85220064 is a wasteful number, since it uses less digits than its factorization.

85220064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295919 (or 295908 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 85220064 is about 9231.4713886791. The cubic root of 85220064 is about 440.0620849032.

The spelling of 85220064 in words is "eighty-five million, two hundred twenty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 295903 591806 887709 1183612 1775418 2367224 2663127 3550836 4734448 5326254 7101672 9468896 10652508 14203344 21305016 28406688 42610032 85220064