Search a number
-
+
688216386 = 231113821977
BaseRepresentation
bin101001000001010…
…101100101000010
31202222000000101210
4221001111211002
52402140411021
6152142510550
723024512524
oct5101254502
91688000353
10688216386
11323531180
12172595456
13ac774a40
146758ba14
1540645e76
hex29055942

688216386 has 64 divisors (see below), whose sum is σ = 1620694656. Its totient is φ = 192076800.

The previous prime is 688216367. The next prime is 688216387. The reversal of 688216386 is 683612886.

It is not an unprimeable number, because it can be changed into a prime (688216387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 703930 + ... + 704906.

It is an arithmetic number, because the mean of its divisors is an integer number (25323354).

Almost surely, 2688216386 is an apocalyptic number.

688216386 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 688216386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810347328).

688216386 is an abundant number, since it is smaller than the sum of its proper divisors (932478270).

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

688216386 is a wasteful number, since it uses less digits than its factorization.

688216386 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827.

The product of its digits is 663552, while the sum is 48.

The square root of 688216386 is about 26233.8785923851. The cubic root of 688216386 is about 882.8935340351.

The spelling of 688216386 in words is "six hundred eighty-eight million, two hundred sixteen thousand, three hundred eighty-six".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 286 429 821 858 977 1642 1954 2463 2931 4926 5862 9031 10673 10747 12701 18062 21346 21494 25402 27093 32019 32241 38103 54186 64038 64482 76206 117403 139711 234806 279422 352209 419133 704418 802117 838266 1604234 2406351 4812702 8823287 10427521 17646574 20855042 26469861 31282563 52939722 62565126 114702731 229405462 344108193 688216386