Search a number
-
+
855944880 = 24357577883
BaseRepresentation
bin110011000001001…
…010111010110000
32012122121111122020
4303001022322300
53223110214010
6220533511440
730132261060
oct6301127260
92178544566
10855944880
113aa18206a
121ba7a2580
1310844017b
148196d3a0
1550228470
hex3304aeb0

855944880 has 160 divisors (see below), whose sum is σ = 3041186304. Its totient is φ = 195084288.

The previous prime is 855944867. The next prime is 855944893. The reversal of 855944880 is 88449558.

855944880 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (855944867) and next prime (855944893).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 968919 + ... + 969801.

Almost surely, 2855944880 is an apocalyptic number.

855944880 is a gapful number since it is divisible by the number (80) 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 855944880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520593152).

855944880 is an abundant number, since it is smaller than the sum of its proper divisors (2185241424).

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

855944880 is a wasteful number, since it uses less digits than its factorization.

855944880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 51.

The square root of 855944880 is about 29256.5356800835. The cubic root of 855944880 is about 949.4714992079.

The spelling of 855944880 in words is "eight hundred fifty-five million, nine hundred forty-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 577 840 883 1154 1680 1731 1766 2308 2649 2885 3462 3532 4039 4415 4616 5298 5770 6181 6924 7064 8078 8655 8830 9232 10596 11540 12117 12362 13245 13848 14128 16156 17310 17660 18543 20195 21192 23080 24234 24724 26490 27696 30905 32312 34620 35320 37086 40390 42384 46160 48468 49448 52980 60585 61810 64624 69240 70640 74172 80780 92715 96936 98896 105960 121170 123620 138480 148344 161560 185430 193872 211920 242340 247240 296688 323120 370860 484680 494480 509491 741720 969360 1018982 1483440 1528473 2037964 2547455 3056946 3566437 4075928 5094910 6113892 7132874 7642365 8151856 10189820 10699311 12227784 14265748 15284730 17832185 20379640 21398622 24455568 28531496 30569460 35664370 40759280 42797244 53496555 57062992 61138920 71328740 85594488 106993110 122277840 142657480 171188976 213986220 285314960 427972440 855944880