Search a number
-
+
5035731930 = 234541532861
BaseRepresentation
bin1001011000010011…
…10010101111011010
3110222221121200120000
410230021302233122
540303121410210
62151405113430
7235535005125
oct45411625732
913887550500
105035731930
1121545a2a29
12b86558876
1362338c848
1435ab233bc
151e7163ac0
hex12c272bda

5035731930 has 160 divisors (see below), whose sum is σ = 14137432848. Its totient is φ = 1284940800.

The previous prime is 5035731929. The next prime is 5035731949. The reversal of 5035731930 is 391375305.

It is a happy number.

5035731930 is a `hidden beast` number, since 50 + 3 + 573 + 1 + 9 + 30 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1495600929 + 3540131001 = 38673^2 + 59499^2 .

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 79 ways as a sum of consecutive naturals, for example, 1758700 + ... + 1761560.

Almost surely, 25035731930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5035731930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7068716424).

5035731930 is an abundant number, since it is smaller than the sum of its proper divisors (9101700918).

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

5035731930 is a wasteful number, since it uses less digits than its factorization.

5035731930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2974 (or 2965 counting only the distinct ones).

The product of its (nonzero) digits is 42525, while the sum is 36.

The square root of 5035731930 is about 70962.8912178753. The cubic root of 5035731930 is about 1714.0396644185.

The spelling of 5035731930 in words is "five billion, thirty-five million, seven hundred thirty-one thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 53 54 81 82 90 106 123 135 159 162 205 246 265 270 318 369 405 410 477 530 615 738 795 810 954 1107 1230 1431 1590 1845 2173 2214 2385 2861 2862 3321 3690 4293 4346 4770 5535 5722 6519 6642 7155 8583 8586 10865 11070 13038 14305 14310 16605 17166 19557 21465 21730 25749 28610 32595 33210 39114 42915 42930 51498 58671 65190 77247 85830 97785 117301 117342 128745 151633 154494 176013 195570 231741 234602 257490 293355 303266 351903 352026 386235 454899 463482 586505 586710 703806 758165 772470 880065 909798 1055709 1158705 1173010 1364697 1516330 1759515 1760130 2111418 2274495 2317410 2729394 3167127 3519030 4094091 4548990 5278545 6216953 6334254 6823485 8188182 9501381 10557090 12282273 12433906 13646970 15835635 18650859 19002762 20470455 24564546 31084765 31671270 37301718 40940910 47506905 55952577 61411365 62169530 93254295 95013810 111905154 122822730 167857731 186508590 279762885 335715462 503573193 559525770 839288655 1007146386 1678577310 2517865965 5035731930