Search a number
-
+
86533568 = 26111011217
BaseRepresentation
bin1010010100001…
…10010111000000
320000211100201222
411022012113000
5134123033233
612330414212
72100344312
oct512062700
9200740658
1086533568
1144933a50
1224b91368
1314c0a1c4
14b6c77b2
1578e4898
hex52865c0

86533568 has 56 divisors (see below), whose sum is σ = 189335664. Its totient is φ = 38912000.

The previous prime is 86533561. The next prime is 86533571.

86533568 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86533561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70496 + ... + 71712.

It is an arithmetic number, because the mean of its divisors is an integer number (3380994).

Almost surely, 286533568 is an apocalyptic number.

86533568 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86533568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94667832).

86533568 is an abundant number, since it is smaller than the sum of its proper divisors (102802096).

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

86533568 is a wasteful number, since it uses less digits than its factorization.

86533568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1331 counting only the distinct ones).

The product of its digits is 518400, while the sum is 44.

The square root of 86533568 is about 9302.3420706831. The cubic root of 86533568 is about 442.3114721375.

It can be divided in two parts, 8653 and 3568, that added together give a palindrome (12221).

The spelling of 86533568 in words is "eighty-six million, five hundred thirty-three thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 101 176 202 352 404 704 808 1111 1217 1616 2222 2434 3232 4444 4868 6464 8888 9736 13387 17776 19472 26774 35552 38944 53548 71104 77888 107096 122917 214192 245834 428384 491668 856768 983336 1352087 1966672 2704174 3933344 5408348 7866688 10816696 21633392 43266784 86533568