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86307282 = 235257691
BaseRepresentation
bin1010010010011…
…11000111010010
320000101212100000
411021033013102
5134043313112
612321510430
72065412505
oct511170722
9200355300
1086307282
1144799a36
1224aa2416
1314b5b1c9
14b66913c
15789c7dc
hex524f1d2

86307282 has 48 divisors (see below), whose sum is σ = 194961312. Its totient is φ = 28615680.

The previous prime is 86307251. The next prime is 86307289. The reversal of 86307282 is 28270368.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (86307289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124557 + ... + 125247.

It is an arithmetic number, because the mean of its divisors is an integer number (4061694).

Almost surely, 286307282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86307282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97480656).

86307282 is an abundant number, since it is smaller than the sum of its proper divisors (108654030).

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

86307282 is a wasteful number, since it uses less digits than its factorization.

86307282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 86307282 is about 9290.1712578402. The cubic root of 86307282 is about 441.9255861841.

The spelling of 86307282 in words is "eighty-six million, three hundred seven thousand, two hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 257 486 514 691 771 1382 1542 2073 2313 4146 4626 6219 6939 12438 13878 18657 20817 37314 41634 55971 62451 111942 124902 167913 177587 335826 355174 532761 1065522 1598283 3196566 4794849 9589698 14384547 28769094 43153641 86307282