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86317088 = 25111321451
BaseRepresentation
bin1010010010100…
…01100000100000
320000102100210012
411021101200200
5134044121323
612322024052
72065453214
oct511214040
9200370705
1086317088
11447a6340
1224aa8028
1314b62800
14b66c944
1578a0678
hex5251820

86317088 has 72 divisors (see below), whose sum is σ = 200881296. Its totient is φ = 36192000.

The previous prime is 86317087. The next prime is 86317097. The reversal of 86317088 is 88071368.

It is not an unprimeable number, because it can be changed into a prime (86317081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58763 + ... + 60213.

It is an arithmetic number, because the mean of its divisors is an integer number (2790018).

Almost surely, 286317088 is an apocalyptic number.

86317088 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86317088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100440648).

86317088 is an abundant number, since it is smaller than the sum of its proper divisors (114564208).

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

86317088 is a wasteful number, since it uses less digits than its factorization.

86317088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1498 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 41.

The square root of 86317088 is about 9290.6990049188. The cubic root of 86317088 is about 441.9423223470.

The spelling of 86317088 in words is "eighty-six million, three hundred seventeen thousand, eighty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 169 176 208 286 338 352 416 572 676 1144 1352 1451 1859 2288 2704 2902 3718 4576 5408 5804 7436 11608 14872 15961 18863 23216 29744 31922 37726 46432 59488 63844 75452 127688 150904 207493 245219 255376 301808 414986 490438 510752 603616 829972 980876 1659944 1961752 2697409 3319888 3923504 5394818 6639776 7847008 10789636 21579272 43158544 86317088