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835742490 = 2351123149739
BaseRepresentation
bin110001110100000…
…110101100011010
32011020121010011120
4301310012230122
53202422224430
6214532510110
726465460012
oct6164065432
92136533146
10835742490
11399833780
121b3a7b336
131041b88ab
147cdd0c42
154d587610
hex31d06b1a

835742490 has 128 divisors (see below), whose sum is σ = 2301696000. Its totient is φ = 192234240.

The previous prime is 835742473. The next prime is 835742497. The reversal of 835742490 is 94247538.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (835742497) 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, 1130541 + ... + 1131279.

It is an arithmetic number, because the mean of its divisors is an integer number (17982000).

Almost surely, 2835742490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 835742490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150848000).

835742490 is an abundant number, since it is smaller than the sum of its proper divisors (1465953510).

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

835742490 is a wasteful number, since it uses less digits than its factorization.

835742490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932.

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 835742490 is about 28909.2111618425. The cubic root of 835742490 is about 941.9419976818.

The spelling of 835742490 in words is "eight hundred thirty-five million, seven hundred forty-two thousand, four hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 110 115 138 149 165 230 253 298 330 345 447 506 690 739 745 759 894 1265 1478 1490 1518 1639 2217 2235 2530 3278 3427 3695 3795 4434 4470 4917 6854 7390 7590 8129 8195 9834 10281 11085 16258 16390 16997 17135 20562 22170 24387 24585 33994 34270 37697 40645 48774 49170 50991 51405 75394 81290 84985 101982 102810 110111 113091 121935 169970 186967 188485 220222 226182 243870 254955 330333 373934 376970 509910 550555 560901 565455 660666 934835 1101110 1121802 1130910 1211221 1651665 1869670 2422442 2532553 2804505 3303330 3633663 5065106 5609010 6056105 7267326 7597659 12112210 12662765 15195318 18168315 25325530 27858083 36336630 37988295 55716166 75976590 83574249 139290415 167148498 278580830 417871245 835742490