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86052064 = 2571920219
BaseRepresentation
bin1010010000100…
…00110011100000
312222220220020111
411020100303200
5134012131224
612312221104
72063300440
oct510206340
9188826214
1086052064
114463520a
122499a794
1314a9bca7
14b600120
15784bd94
hex5210ce0

86052064 has 48 divisors (see below), whose sum is σ = 203817600. Its totient is φ = 34936704.

The previous prime is 86052061. The next prime is 86052089. The reversal of 86052064 is 46025068.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86052061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5854 + ... + 14365.

It is an arithmetic number, because the mean of its divisors is an integer number (4246200).

Almost surely, 286052064 is an apocalyptic number.

It is an amenable number.

86052064 is an abundant number, since it is smaller than the sum of its proper divisors (117765536).

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

86052064 is a wasteful number, since it uses less digits than its factorization.

86052064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20255 (or 20247 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 86052064 is about 9276.4251735246. The cubic root of 86052064 is about 441.4895522111.

The spelling of 86052064 in words is "eighty-six million, fifty-two thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 1064 2128 4256 20219 40438 80876 141533 161752 283066 323504 384161 566132 647008 768322 1132264 1536644 2264528 2689127 3073288 4529056 5378254 6146576 10756508 12293152 21513016 43026032 86052064