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688327696 = 24729372
BaseRepresentation
bin101001000001110…
…000110000010000
31202222012200002101
4221001300300100
52402202441241
6152145130144
723025455200
oct5101606020
91688180071
10688327696
113235a7871
12172629954
13ac7b35c4
14675ba400
1540668e31
hex29070c10

688327696 has 45 divisors (see below), whose sum is σ = 1553028669. Its totient is φ = 294682752.

The previous prime is 688327669. The next prime is 688327699. The reversal of 688327696 is 696723886.

It is a happy number.

The square root of 688327696 is 26236.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 36240400 + 652087296 = 6020^2 + 25536^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (688327699) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 734140 + ... + 735076.

Almost surely, 2688327696 is an apocalyptic number.

688327696 is the 26236-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 688327696

688327696 is an abundant number, since it is smaller than the sum of its proper divisors (864700973).

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

688327696 is an frugal number, since it uses more digits than its factorization.

688327696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896 (or 946 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 55.

The cubic root of 688327696 is about 882.9411302967.

The spelling of 688327696 in words is "six hundred eighty-eight million, three hundred twenty-seven thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 937 1874 3748 6559 7496 13118 14992 26236 45913 52472 91826 104944 183652 367304 734608 877969 1755938 3511876 6145783 7023752 12291566 14047504 24583132 43020481 49166264 86040962 98332528 172081924 344163848 688327696