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483690900 = 2235271120939
BaseRepresentation
bin11100110101001…
…000100110010100
31020201011001011210
4130311020212110
51442311102100
6115555101420
714662206360
oct3465104624
91221131153
10483690900
11229038150
12115ba1870
1379294944
144834c2a0
152c6e5c50
hex1cd48994

483690900 has 144 divisors (see below), whose sum is σ = 1744888320. Its totient is φ = 100502400.

The previous prime is 483690871. The next prime is 483690917. The reversal of 483690900 is 9096384.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12631 + ... + 33569.

It is an arithmetic number, because the mean of its divisors is an integer number (12117280).

Almost surely, 2483690900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 483690900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872444160).

483690900 is an abundant number, since it is smaller than the sum of its proper divisors (1261197420).

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

483690900 is a wasteful number, since it uses less digits than its factorization.

483690900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20974 (or 20967 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 483690900 is about 21992.9738780366. The cubic root of 483690900 is about 784.9752652896.

The spelling of 483690900 in words is "four hundred eighty-three million, six hundred ninety thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 25 28 30 33 35 42 44 50 55 60 66 70 75 77 84 100 105 110 132 140 150 154 165 175 210 220 231 275 300 308 330 350 385 420 462 525 550 660 700 770 825 924 1050 1100 1155 1540 1650 1925 2100 2310 3300 3850 4620 5775 7700 11550 20939 23100 41878 62817 83756 104695 125634 146573 209390 230329 251268 293146 314085 418780 439719 460658 523475 586292 628170 690987 732865 879438 921316 1046950 1151645 1256340 1381974 1465730 1570425 1612303 1758876 2093900 2198595 2303290 2763948 2931460 3140850 3224606 3454935 3664325 4397190 4606580 4836909 5758225 6281700 6449212 6909870 7328650 8061515 8794380 9673818 10992975 11516450 13819740 14657300 16123030 17274675 19347636 21985950 23032900 24184545 32246060 34549350 40307575 43971900 48369090 69098700 80615150 96738180 120922725 161230300 241845450 483690900