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86131485 = 33511311871
BaseRepresentation
bin1010010001001…
…00001100011101
320000001221012000
411020210030131
5134022201420
612314032513
72064051126
oct510441435
9200057160
1086131485
1144689950
1224a18739
1314ac919b
14b62104d
157865690
hex522431d

86131485 has 64 divisors (see below), whose sum is σ = 172523520. Its totient is φ = 40392000.

The previous prime is 86131483. The next prime is 86131517. The reversal of 86131485 is 58413168.

It is not a de Polignac number, because 86131485 - 21 = 86131483 is a prime.

It is a super-4 number, since 4×861314854 (a number of 33 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86131483) by changing a digit.

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, 45100 + ... + 46970.

It is an arithmetic number, because the mean of its divisors is an integer number (2695680).

Almost surely, 286131485 is an apocalyptic number.

It is an amenable number.

86131485 is an abundant number, since it is smaller than the sum of its proper divisors (86392035).

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

86131485 is a wasteful number, since it uses less digits than its factorization.

86131485 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1927 (or 1921 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 86131485 is about 9280.7049839977. The cubic root of 86131485 is about 441.6253334208.

The spelling of 86131485 in words is "eighty-six million, one hundred thirty-one thousand, four hundred eighty-five".

Divisors: 1 3 5 9 11 15 27 31 33 45 55 93 99 135 155 165 279 297 341 465 495 837 1023 1395 1485 1705 1871 3069 4185 5115 5613 9207 9355 15345 16839 20581 28065 46035 50517 58001 61743 84195 102905 174003 185229 252585 290005 308715 522009 555687 638011 870015 926145 1566027 1914033 2610045 2778435 3190055 5742099 7830135 9570165 17226297 28710495 86131485