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687803076 = 2234312472
BaseRepresentation
bin101000111111110…
…000101011000100
31202221020000110000
4220333300223010
52402034144301
6152130001300
723021141532
oct5077605304
91687200400
10687803076
113232796a4
12172416230
13ac65b88c
14674c1152
15405b3786
hex28ff0ac4

687803076 has 135 divisors (see below), whose sum is σ = 1898297247. Its totient is φ = 217151280.

The previous prime is 687803071. The next prime is 687803093. The reversal of 687803076 is 670308786.

The square root of 687803076 is 26226.

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

687803076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (687803071) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 14634085 + ... + 14634131.

Almost surely, 2687803076 is an apocalyptic number.

687803076 is the 26226-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 687803076

687803076 is an abundant number, since it is smaller than the sum of its proper divisors (1210494171).

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

687803076 is a wasteful number, since it uses less digits than its factorization.

687803076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The cubic root of 687803076 is about 882.7167573665.

The spelling of 687803076 in words is "six hundred eighty-seven million, eight hundred three thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 47 54 62 81 93 94 108 124 141 162 186 188 279 282 324 372 423 558 564 837 846 961 1116 1269 1457 1674 1692 1922 2209 2511 2538 2883 2914 3348 3807 3844 4371 4418 5022 5076 5766 5828 6627 7614 8649 8742 8836 10044 11532 13113 13254 15228 17298 17484 19881 25947 26226 26508 34596 39339 39762 45167 51894 52452 59643 68479 77841 78678 79524 90334 103788 118017 119286 135501 136958 155682 157356 178929 180668 205437 236034 238572 271002 273916 311364 357858 406503 410874 472068 542004 616311 715716 813006 821748 1219509 1232622 1626012 1848933 2122849 2439018 2465244 3658527 3697866 4245698 4878036 5546799 6368547 7317054 7395732 8491396 11093598 12737094 14634108 19105641 22187196 25474188 38211282 57316923 76422564 114633846 171950769 229267692 343901538 687803076