Search a number
-
+
85989536 = 2517315099
BaseRepresentation
bin1010010000000…
…01100010100000
312222210201110122
411020001202200
5134003131121
612311015412
72062620233
oct510014240
9188721418
1085989536
11445a2236
122496a568
1314a796a9
14b5c541a
1578385ab
hex52018a0

85989536 has 48 divisors (see below), whose sum is σ = 185068800. Its totient is φ = 39152640.

The previous prime is 85989511. The next prime is 85989559. The reversal of 85989536 is 63598958.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14315 + ... + 19413.

It is an arithmetic number, because the mean of its divisors is an integer number (3855600).

Almost surely, 285989536 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 85989536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92534400).

85989536 is an abundant number, since it is smaller than the sum of its proper divisors (99079264).

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

85989536 is a wasteful number, since it uses less digits than its factorization.

85989536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5157 (or 5149 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 53.

The square root of 85989536 is about 9273.0542972637. The cubic root of 85989536 is about 441.3825931352.

The spelling of 85989536 in words is "eighty-five million, nine hundred eighty-nine thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 17 31 32 34 62 68 124 136 248 272 496 527 544 992 1054 2108 4216 5099 8432 10198 16864 20396 40792 81584 86683 158069 163168 173366 316138 346732 632276 693464 1264552 1386928 2529104 2687173 2773856 5058208 5374346 10748692 21497384 42994768 85989536