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86330505 = 35173167163
BaseRepresentation
bin1010010010101…
…00110010001001
320000110001012010
411021110302021
5134100034010
612322210133
72065540302
oct511246211
9200401163
1086330505
1144805428
1224ab3949
1314b68951
14b6737a9
1578a4620
hex5254c89

86330505 has 64 divisors (see below), whose sum is σ = 154165248. Its totient is φ = 41057280.

The previous prime is 86330479. The next prime is 86330557. The reversal of 86330505 is 50503368.

It is not a de Polignac number, because 86330505 - 25 = 86330473 is a prime.

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 63 ways as a sum of consecutive naturals, for example, 529554 + ... + 529716.

It is an arithmetic number, because the mean of its divisors is an integer number (2408832).

Almost surely, 286330505 is an apocalyptic number.

86330505 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

86330505 is a deficient number, since it is larger than the sum of its proper divisors (67834743).

86330505 is a wasteful number, since it uses less digits than its factorization.

86330505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286.

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 86330505 is about 9291.4210430913. The cubic root of 86330505 is about 441.9652194468.

The spelling of 86330505 in words is "eighty-six million, three hundred thirty thousand, five hundred five".

Divisors: 1 3 5 15 17 31 51 67 85 93 155 163 201 255 335 465 489 527 815 1005 1139 1581 2077 2445 2635 2771 3417 5053 5695 6231 7905 8313 10385 10921 13855 15159 17085 25265 31155 32763 35309 41565 54605 75795 85901 105927 163815 176545 185657 257703 338551 429505 529635 556971 928285 1015653 1288515 1692755 2784855 5078265 5755367 17266101 28776835 86330505