Search a number
-
+
4689115440 = 2435171378389
BaseRepresentation
bin1000101110111111…
…00011100100110000
3110002210101202010020
410113133203210300
534100403143230
62053144003440
7224125552332
oct42737434460
913083352106
104689115440
111a96979919
12aaa460580
1359961c729
14326a97452
151c69e7810
hex1177e3930

4689115440 has 160 divisors (see below), whose sum is σ = 15505525440. Its totient is φ = 1168146432.

The previous prime is 4689115433. The next prime is 4689115441. The reversal of 4689115440 is 445119864.

It is a junction number, because it is equal to n+sod(n) for n = 4689115392 and 4689115401.

It is not an unprimeable number, because it can be changed into a prime (4689115441) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 554766 + ... + 563154.

It is an arithmetic number, because the mean of its divisors is an integer number (96909534).

Almost surely, 24689115440 is an apocalyptic number.

4689115440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4689115440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7752762720).

4689115440 is an abundant number, since it is smaller than the sum of its proper divisors (10816410000).

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

4689115440 is a wasteful number, since it uses less digits than its factorization.

4689115440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8559 (or 8553 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 4689115440 is about 68477.1161775961. The cubic root of 4689115440 is about 1673.7746071270.

The spelling of 4689115440 in words is "four billion, six hundred eighty-nine million, one hundred fifteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 137 170 204 240 255 272 274 340 408 411 510 548 680 685 816 822 1020 1096 1360 1370 1644 2040 2055 2192 2329 2740 3288 4080 4110 4658 5480 6576 6987 8220 8389 9316 10960 11645 13974 16440 16778 18632 23290 25167 27948 32880 33556 34935 37264 41945 46580 50334 55896 67112 69870 83890 93160 100668 111792 125835 134224 139740 142613 167780 186320 201336 251670 279480 285226 335560 402672 427839 503340 558960 570452 671120 713065 855678 1006680 1140904 1149293 1426130 1711356 2013360 2139195 2281808 2298586 2852260 3422712 3447879 4278390 4597172 5704520 5746465 6845424 6895758 8556780 9194344 11409040 11492930 13791516 17113560 17239395 18388688 19537981 22985860 27583032 34227120 34478790 39075962 45971720 55166064 58613943 68957580 78151924 91943440 97689905 117227886 137915160 156303848 195379810 234455772 275830320 293069715 312607696 390759620 468911544 586139430 781519240 937823088 1172278860 1563038480 2344557720 4689115440