Search a number
-
+
86252688 = 243466553
BaseRepresentation
bin1010010010000…
…01110010010000
320000022002110000
411021001302100
5134040041223
612320410000
72065064364
oct511016220
9200262400
1086252688
1144761a15
1224a76900
1314b3c3c2
14b6532a4
15788b543
hex5241c90

86252688 has 50 divisors (see below), whose sum is σ = 249644054. Its totient is φ = 28750464.

The previous prime is 86252671. The next prime is 86252701. The reversal of 86252688 is 88625268.

It can be written as a sum of positive squares in only one way, i.e., 58247424 + 28005264 = 7632^2 + 5292^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 31981 + ... + 34572.

Almost surely, 286252688 is an apocalyptic number.

It is an amenable number.

86252688 is an abundant number, since it is smaller than the sum of its proper divisors (163391366).

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

86252688 is a wasteful number, since it uses less digits than its factorization.

86252688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66573 (or 66558 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 86252688 is about 9287.2325264311. The cubic root of 86252688 is about 441.8323859589.

The spelling of 86252688 in words is "eighty-six million, two hundred fifty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 66553 133106 199659 266212 399318 532424 598977 798636 1064848 1197954 1597272 1796931 2395908 3194544 3593862 4791816 5390793 7187724 9583632 10781586 14375448 21563172 28750896 43126344 86252688