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688716427 = 71719476481
BaseRepresentation
bin101001000011001…
…111101010001011
31202222221102022211
4221003033222023
52402302411202
6152201325551
723031664420
oct5103175213
91688842284
10688716427
11323842933
121727968b7
13ac8bb519
146767bd47
15406e41d7
hex290cfa8b

688716427 has 32 divisors (see below), whose sum is σ = 896071680. Its totient is φ = 515082240.

The previous prime is 688716407. The next prime is 688716433. The reversal of 688716427 is 724617886.

It is a happy number.

688716427 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 688716427 - 27 = 688716299 is a prime.

It is not an unprimeable number, because it can be changed into a prime (688716407) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103027 + ... + 109507.

It is an arithmetic number, because the mean of its divisors is an integer number (28002240).

Almost surely, 2688716427 is an apocalyptic number.

688716427 is a deficient number, since it is larger than the sum of its proper divisors (207355253).

688716427 is a wasteful number, since it uses less digits than its factorization.

688716427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6571.

The product of its digits is 903168, while the sum is 49.

The square root of 688716427 is about 26243.4073054548. The cubic root of 688716427 is about 883.1073118014.

The spelling of 688716427 in words is "six hundred eighty-eight million, seven hundred sixteen thousand, four hundred twenty-seven".

Divisors: 1 7 17 19 47 119 133 323 329 799 893 2261 5593 6251 6481 15181 45367 106267 110177 123139 304607 771239 861973 2093363 2132249 5178319 5787533 14653541 36248233 40512731 98388061 688716427