Search a number
-
+
86169978 = 23219289149
BaseRepresentation
bin1010010001011…
…01100101111010
320000010212222200
411020231211322
5134024414403
612314531030
72064301266
oct510554572
9200125880
1086169978
1144705864
1224a36a76
1314b1086b
14b6310a6
157871ca3
hex522d97a

86169978 has 72 divisors (see below), whose sum is σ = 200596500. Its totient is φ = 26725248.

The previous prime is 86169917. The next prime is 86170001. The reversal of 86169978 is 87996168.

It can be written as a sum of positive squares in 2 ways, for example, as 74080449 + 12089529 = 8607^2 + 3477^2 .

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 578248 + ... + 578396.

Almost surely, 286169978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86169978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100298250).

86169978 is an abundant number, since it is smaller than the sum of its proper divisors (114426522).

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

86169978 is a wasteful number, since it uses less digits than its factorization.

86169978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 262 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The square root of 86169978 is about 9282.7785710960. The cubic root of 86169978 is about 441.6911125111.

The spelling of 86169978 in words is "eighty-six million, one hundred sixty-nine thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 9 18 19 38 57 89 114 149 171 178 267 298 342 361 447 534 722 801 894 1083 1341 1602 1691 2166 2682 2831 3249 3382 5073 5662 6498 8493 10146 13261 15219 16986 25479 26522 30438 32129 39783 50958 53789 64258 79566 96387 107578 119349 161367 192774 238698 251959 289161 322734 484101 503918 578322 755877 968202 1511754 2267631 4535262 4787221 9574442 14361663 28723326 43084989 86169978