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687564045 = 3457298363
BaseRepresentation
bin101000111110110…
…110010100001101
31202220202212120000
4220332312110031
52402004022140
6152120514513
723016124620
oct5076662415
91686685500
10687564045
11323126053
1217231ba39
13ac5a6b3c
146745bdb7
1540567a30
hex28fb650d

687564045 has 80 divisors (see below), whose sum is σ = 1457343360. Its totient is φ = 303440256.

The previous prime is 687564019. The next prime is 687564061. The reversal of 687564045 is 540465786.

687564045 is a `hidden beast` number, since 6 + 87 + 564 + 0 + 4 + 5 = 666.

It is not a de Polignac number, because 687564045 - 211 = 687561997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 78034 + ... + 86396.

It is an arithmetic number, because the mean of its divisors is an integer number (18216792).

Almost surely, 2687564045 is an apocalyptic number.

It is an amenable number.

687564045 is an abundant number, since it is smaller than the sum of its proper divisors (769779315).

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

687564045 is a wasteful number, since it uses less digits than its factorization.

687564045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8416 (or 8407 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 687564045 is about 26221.4424660429. The cubic root of 687564045 is about 882.6144891816.

The spelling of 687564045 in words is "six hundred eighty-seven million, five hundred sixty-four thousand, forty-five".

Divisors: 1 3 5 7 9 15 21 27 29 35 45 63 81 87 105 135 145 189 203 261 315 405 435 567 609 783 945 1015 1305 1827 2349 2835 3045 3915 5481 8363 9135 11745 16443 25089 27405 41815 58541 75267 82215 125445 175623 225801 242527 292705 376335 526869 677403 727581 878115 1129005 1212635 1580607 1697689 2182743 2634345 3387015 3637905 4741821 5093067 6548229 7903035 8488445 10913715 15279201 19644687 23709105 25465335 32741145 45837603 76396005 98223435 137512809 229188015 687564045