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855108738 = 2351117972
BaseRepresentation
bin110010111101111…
…110110010000010
32012121001000200000
4302331332302002
53222401434423
6220503540430
730122206251
oct6275766202
92177030600
10855108738
113a9760940
121ba45a716
13108209703
14817d2798
1550110843
hex32f7ec82

855108738 has 144 divisors (see below), whose sum is σ = 2242435104. Its totient is φ = 241367040.

The previous prime is 855108713. The next prime is 855108757. The reversal of 855108738 is 837801558.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 855108693 and 855108702.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 8815506 + ... + 8815602.

It is an arithmetic number, because the mean of its divisors is an integer number (15572466).

Almost surely, 2855108738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 855108738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121217552).

855108738 is an abundant number, since it is smaller than the sum of its proper divisors (1387326366).

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

855108738 is a wasteful number, since it uses less digits than its factorization.

855108738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The square root of 855108738 is about 29242.2423558796. The cubic root of 855108738 is about 949.1622302094.

The spelling of 855108738 in words is "eight hundred fifty-five million, one hundred eight thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 81 97 99 102 153 162 187 194 198 243 291 297 306 374 459 486 561 582 594 873 891 918 1067 1122 1377 1649 1683 1746 1782 2134 2619 2673 2754 3201 3298 3366 4131 4947 5049 5238 5346 6402 7857 8262 9409 9603 9894 10098 14841 15147 15714 18139 18818 19206 23571 28227 28809 29682 30294 36278 44523 45441 47142 54417 56454 57618 84681 86427 89046 90882 103499 108834 133569 159953 163251 169362 172854 206998 254043 259281 267138 310497 319906 326502 400707 479859 489753 508086 518562 620994 762129 801414 931491 959718 979506 1439577 1469259 1524258 1759483 1862982 2286387 2794473 2879154 2938518 3518966 4318731 4407777 4572774 5278449 5588946 8383419 8637462 8815554 10556898 12956193 15835347 16766838 25150257 25912386 31670694 38868579 47506041 50300514 77737158 95012082 142518123 285036246 427554369 855108738