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86879205 = 3257231241
BaseRepresentation
bin1010010110110…
…10101111100101
320001110220212100
411023122233211
5134220113310
612342042313
72103314100
oct513325745
9201426770
1086879205
114504a6a6
1225119399
1314ccb61a
14b777737
157961ec0
hex52dabe5

86879205 has 108 divisors (see below), whose sum is σ = 185424876. Its totient is φ = 37497600.

The previous prime is 86879203. The next prime is 86879227. The reversal of 86879205 is 50297868.

It can be written as a sum of positive squares in 2 ways, for example, as 15256836 + 71622369 = 3906^2 + 8463^2 .

It is not a de Polignac number, because 86879205 - 21 = 86879203 is a prime.

It is a super-2 number, since 2×868792052 = 15095992522864050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86879201) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2118985 + ... + 2119025.

It is an arithmetic number, because the mean of its divisors is an integer number (1716897).

Almost surely, 286879205 is an apocalyptic number.

It is an amenable number.

86879205 is an abundant number, since it is smaller than the sum of its proper divisors (98545671).

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

86879205 is a wasteful number, since it uses less digits than its factorization.

86879205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 86879205 is about 9320.9015121929. The cubic root of 86879205 is about 442.8995911693.

The spelling of 86879205 in words is "eighty-six million, eight hundred seventy-nine thousand, two hundred five".

Divisors: 1 3 5 7 9 15 21 31 35 41 45 49 63 93 105 123 147 155 205 217 245 279 287 315 369 441 465 615 651 735 861 961 1085 1271 1395 1435 1519 1845 1953 2009 2205 2583 2883 3255 3813 4305 4557 4805 6027 6355 6727 7595 8649 8897 9765 10045 11439 12915 13671 14415 18081 19065 20181 22785 26691 30135 33635 39401 43245 44485 47089 57195 60543 62279 68355 80073 90405 100905 118203 133455 141267 186837 197005 235445 275807 302715 311395 354609 400365 423801 560511 591015 706335 827421 934185 1379035 1773045 1930649 2119005 2482263 2802555 4137105 5791947 9653245 12411315 17375841 28959735 86879205