Search a number
-
+
850237830 = 2335131714249
BaseRepresentation
bin110010101011011…
…001100110000110
32012020212120001000
4302223121212012
53220130102310
6220211314130
730032621331
oct6253314606
92166776030
10850237830
113a6a342a2
121b88ab946
131071c2610
1480cc5618
154e99c4c0
hex32ad9986

850237830 has 128 divisors (see below), whose sum is σ = 2585520000. Its totient is φ = 196964352.

The previous prime is 850237799. The next prime is 850237831. The reversal of 850237830 is 38732058.

850237830 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (850237831) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52546 + ... + 66794.

It is an arithmetic number, because the mean of its divisors is an integer number (20199375).

Almost surely, 2850237830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 850237830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292760000).

850237830 is an abundant number, since it is smaller than the sum of its proper divisors (1735282170).

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

850237830 is a wasteful number, since it uses less digits than its factorization.

850237830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14295 (or 14289 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 850237830 is about 29158.8379398082. The cubic root of 850237830 is about 947.3565774981.

Adding to 850237830 its reverse (38732058), we get a palindrome (888969888).

The spelling of 850237830 in words is "eight hundred fifty million, two hundred thirty-seven thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 26 27 30 34 39 45 51 54 65 78 85 90 102 117 130 135 153 170 195 221 234 255 270 306 351 390 442 459 510 585 663 702 765 918 1105 1170 1326 1530 1755 1989 2210 2295 3315 3510 3978 4590 5967 6630 9945 11934 14249 19890 28498 29835 42747 59670 71245 85494 128241 142490 185237 213735 242233 256482 370474 384723 427470 484466 555711 641205 726699 769446 926185 1111422 1211165 1282410 1453398 1667133 1852370 1923615 2180097 2422330 2778555 3149029 3334266 3633495 3847230 4360194 5001399 5557110 6298058 6540291 7266990 8335665 9447087 10002798 10900485 13080582 15745145 16671330 18894174 21800970 25006995 28341261 31490290 32701455 47235435 50013990 56682522 65402910 85023783 94470870 141706305 170047566 283412610 425118915 850237830