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687712050 = 232521789897
BaseRepresentation
bin101000111111011…
…010011100110010
31202221001101120200
4220333122130302
52402023241200
6152124020030
723020312254
oct5077323462
91687041520
10687712050
11323217273
12172391616
13ac62930c
1467499cd4
1540596800
hex28fda732

687712050 has 72 divisors (see below), whose sum is σ = 1956360276. Its totient is φ = 172600320.

The previous prime is 687712043. The next prime is 687712063. The reversal of 687712050 is 50217786.

It can be written as a sum of positive squares in 6 ways, for example, as 222576561 + 465135489 = 14919^2 + 21567^2 .

It is a junction number, because it is equal to n+sod(n) for n = 687711996 and 687712014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37299 + ... + 52598.

Almost surely, 2687712050 is an apocalyptic number.

687712050 is an abundant number, since it is smaller than the sum of its proper divisors (1268648226).

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

687712050 is a wasteful number, since it uses less digits than its factorization.

687712050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89932 (or 89924 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 687712050 is about 26224.2645273418. The cubic root of 687712050 is about 882.6778151541.

The spelling of 687712050 in words is "six hundred eighty-seven million, seven hundred twelve thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 30 34 45 50 51 75 85 90 102 150 153 170 225 255 306 425 450 510 765 850 1275 1530 2550 3825 7650 89897 179794 269691 449485 539382 809073 898970 1348455 1528249 1618146 2247425 2696910 3056498 4045365 4494850 4584747 6742275 7641245 8090730 9169494 13484550 13754241 15282490 20226825 22923735 27508482 38206225 40453650 45847470 68771205 76412450 114618675 137542410 229237350 343856025 687712050