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689269824 = 2634132961
BaseRepresentation
bin101001000101010…
…110110001000000
31210000222112110000
4221011112301000
52402423113244
6152221240000
723036461005
oct5105266100
91700875400
10689269824
11324090691
12172a03000
13aca53389
14677838ac
15407a3169
hex29156c40

689269824 has 70 divisors (see below), whose sum is σ = 2043227054. Its totient is φ = 229754880.

The previous prime is 689269813. The next prime is 689269831. The reversal of 689269824 is 428962986.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 581774400 + 107495424 = 24120^2 + 10368^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 61297 + ... + 71664.

Almost surely, 2689269824 is an apocalyptic number.

689269824 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

689269824 is an abundant number, since it is smaller than the sum of its proper divisors (1353957230).

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

689269824 is a wasteful number, since it uses less digits than its factorization.

689269824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132985 (or 132966 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 689269824 is about 26253.9487315718. The cubic root of 689269824 is about 883.3437797586.

The spelling of 689269824 in words is "six hundred eighty-nine million, two hundred sixty-nine thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 132961 265922 398883 531844 797766 1063688 1196649 1595532 2127376 2393298 3191064 3589947 4254752 4786596 6382128 7179894 8509504 9573192 10769841 12764256 14359788 19146384 21539682 25528512 28719576 38292768 43079364 57439152 76585536 86158728 114878304 172317456 229756608 344634912 689269824