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86392968 = 23323532953
BaseRepresentation
bin1010010011001…
…00000010001000
320000120012212120
411021210002020
5134104033333
612323411240
72066220354
oct511440210
9200505776
1086392968
1144848352
1224b23b20
1314b8b1cc
14b68c464
1578b7db3
hex5264088

86392968 has 64 divisors (see below), whose sum is σ = 229703040. Its totient is φ = 27016704.

The previous prime is 86392967. The next prime is 86392973. The reversal of 86392968 is 86929368.

It is a self number, because there is not a number n which added to its sum of digits gives 86392968.

It is not an unprimeable number, because it can be changed into a prime (86392967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27780 + ... + 30732.

It is an arithmetic number, because the mean of its divisors is an integer number (3589110).

Almost surely, 286392968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86392968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114851520).

86392968 is an abundant number, since it is smaller than the sum of its proper divisors (143310072).

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

86392968 is a wasteful number, since it uses less digits than its factorization.

86392968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3038 (or 3034 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 51.

The square root of 86392968 is about 9294.7817618274. The cubic root of 86392968 is about 442.0717859422.

The spelling of 86392968 in words is "eighty-six million, three hundred ninety-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 53 69 92 106 138 159 184 212 276 318 424 552 636 1219 1272 2438 2953 3657 4876 5906 7314 8859 9752 11812 14628 17718 23624 29256 35436 67919 70872 135838 156509 203757 271676 313018 407514 469527 543352 626036 815028 939054 1252072 1630056 1878108 3599707 3756216 7199414 10799121 14398828 21598242 28797656 43196484 86392968