Search a number
-
+
86228608 = 27312701
BaseRepresentation
bin1010010001110…
…11111010000000
320000020212102011
411020323322000
5134033303413
612320102304
72064634234
oct510737200
9200225364
1086228608
1144745914
1224a64994
1314b3145b
14b6485c4
15788433d
hex523be80

86228608 has 48 divisors (see below), whose sum is σ = 177756930. Its totient is φ = 41664000.

The previous prime is 86228603. The next prime is 86228663. The reversal of 86228608 is 80682268.

It can be written as a sum of positive squares in only one way, i.e., 59105344 + 27123264 = 7688^2 + 5208^2 .

It is not an unprimeable number, because it can be changed into a prime (86228603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 122658 + ... + 123358.

Almost surely, 286228608 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 86228608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88878465).

86228608 is an abundant number, since it is smaller than the sum of its proper divisors (91528322).

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

86228608 is an equidigital number, since it uses as much as digits as its factorization.

86228608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 86228608 is about 9285.9360325171. The cubic root of 86228608 is about 441.7912652536.

The spelling of 86228608 in words is "eighty-six million, two hundred twenty-eight thousand, six hundred eight".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 496 701 961 992 1402 1922 1984 2804 3844 3968 5608 7688 11216 15376 21731 22432 30752 43462 44864 61504 86924 89728 123008 173848 347696 673661 695392 1347322 1390784 2694644 2781568 5389288 10778576 21557152 43114304 86228608