Search a number
-
+
689818688 = 26131018209
BaseRepresentation
bin101001000111011…
…100110001000000
31210002000102100022
4221013130301000
52403043144223
6152241113012
723044235126
oct5107346100
91702012308
10689818688
11324425a99
12173028768
13acbb6150
1467887916
1540860ac8
hex291dcc40

689818688 has 56 divisors (see below), whose sum is σ = 1488932760. Its totient is φ = 315187200.

The previous prime is 689818637. The next prime is 689818711. The reversal of 689818688 is 886818986.

It can be written as a sum of positive squares in 4 ways, for example, as 36096064 + 653722624 = 6008^2 + 25568^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 689818688.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79928 + ... + 88136.

It is an arithmetic number, because the mean of its divisors is an integer number (26588085).

Almost surely, 2689818688 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 689818688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744466380).

689818688 is an abundant number, since it is smaller than the sum of its proper divisors (799114072).

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

689818688 is a wasteful number, since it uses less digits than its factorization.

689818688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8335 (or 8325 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 62.

The square root of 689818688 is about 26264.3996314403. The cubic root of 689818688 is about 883.5781857678.

The spelling of 689818688 in words is "six hundred eighty-nine million, eight hundred eighteen thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 101 104 202 208 404 416 808 832 1313 1616 2626 3232 5252 6464 8209 10504 16418 21008 32836 42016 65672 84032 106717 131344 213434 262688 426868 525376 829109 853736 1658218 1707472 3316436 3414944 6632872 6829888 10778417 13265744 21556834 26531488 43113668 53062976 86227336 172454672 344909344 689818688