Search a number
-
+
686542864 = 24731792503
BaseRepresentation
bin101000111010111…
…101000000010000
31202211211222202111
4220322331000100
52401223332424
6152042555104
723004342460
oct5072750020
91684758674
10686542864
113225988a7
12171b08a94
13ac30a0a7
1467273ba0
1540415194
hex28ebd010

686542864 has 80 divisors (see below), whose sum is σ = 1589739520. Its totient is φ = 281024640.

The previous prime is 686542849. The next prime is 686542891. The reversal of 686542864 is 468245686.

It is a super-2 number, since 2×6865428642 = 942682208218644992, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273037 + ... + 275539.

It is an arithmetic number, because the mean of its divisors is an integer number (19871744).

Almost surely, 2686542864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 686542864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794869760).

686542864 is an abundant number, since it is smaller than the sum of its proper divisors (903196656).

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

686542864 is a wasteful number, since it uses less digits than its factorization.

686542864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2628 (or 2622 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 49.

The square root of 686542864 is about 26201.9629798990. The cubic root of 686542864 is about 882.1773150087.

It can be divided in two parts, 6865 and 42864, that added together give a square (49729 = 2232).

The spelling of 686542864 in words is "six hundred eighty-six million, five hundred forty-two thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 79 112 124 158 217 248 316 434 496 553 632 868 1106 1264 1736 2212 2449 2503 3472 4424 4898 5006 8848 9796 10012 17143 17521 19592 20024 34286 35042 39184 40048 68572 70084 77593 137144 140168 155186 197737 274288 280336 310372 395474 543151 620744 790948 1086302 1241488 1384159 1581896 2172604 2768318 3163792 4345208 5536636 6129847 8690416 11073272 12259694 22146544 24519388 42908929 49038776 85817858 98077552 171635716 343271432 686542864