Search a number
-
+
859389916 = 2271121743347
BaseRepresentation
bin110011001110010…
…011111111011100
32012220002112100011
4303032103333130
53230000434131
6221135413004
730203456650
oct6316237734
92186075304
10859389916
11401115400
121bb984164
13109078258
14821c8a60
15506a90b1
hex33393fdc

859389916 has 144 divisors (see below), whose sum is σ = 2052787968. Its totient is φ = 306915840.

The previous prime is 859389913. The next prime is 859389941. The reversal of 859389916 is 619983958.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (859389913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2476455 + ... + 2476801.

It is an arithmetic number, because the mean of its divisors is an integer number (14255472).

Almost surely, 2859389916 is an apocalyptic number.

859389916 is a gapful number since it is divisible by the number (86) 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 859389916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026393984).

859389916 is an abundant number, since it is smaller than the sum of its proper divisors (1193398052).

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

859389916 is a wasteful number, since it uses less digits than its factorization.

859389916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 427 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 58.

The square root of 859389916 is about 29315.3529059433. The cubic root of 859389916 is about 950.7436157490.

The spelling of 859389916 in words is "eight hundred fifty-nine million, three hundred eighty-nine thousand, nine hundred sixteen".

Divisors: 1 2 4 7 11 14 17 22 28 34 43 44 68 77 86 119 121 154 172 187 238 242 301 308 347 374 473 476 484 602 694 731 748 847 946 1204 1309 1388 1462 1694 1892 2057 2429 2618 2924 3311 3388 3817 4114 4858 5117 5203 5236 5899 6622 7634 8041 8228 9716 10234 10406 11798 13244 14399 14921 15268 16082 20468 20812 23596 26719 28798 29842 32164 36421 41293 41987 53438 56287 57596 59684 64889 72842 82586 83974 88451 104447 106876 112574 129778 145684 164131 165172 167948 176902 208894 225148 253657 259556 293909 328262 353804 417788 454223 507314 587818 619157 656524 713779 908446 1014628 1148917 1175636 1238314 1427558 1775599 1805441 1816892 2297834 2476628 2790227 2855116 3551198 3610882 4595668 4996453 5580454 7102396 7221764 9992906 11160908 12638087 19531589 19985812 25276174 30692497 39063178 50552348 61384994 78126356 122769988 214847479 429694958 859389916