Search a number
-
+
483522120 = 233252694993
BaseRepresentation
bin11100110100011…
…111011001001000
31020200211110122200
4130310133121020
51442240201440
6115551320200
714660604324
oct3464373110
91220743580
10483522120
11228a32364
12115b20060
1379235b83
1448306984
152c6b0c30
hex1cd1f648

483522120 has 96 divisors (see below), whose sum is σ = 1577604600. Its totient is φ = 128434176.

The previous prime is 483522071. The next prime is 483522157. The reversal of 483522120 is 21225384.

It can be written as a sum of positive squares in 4 ways, for example, as 232806564 + 250715556 = 15258^2 + 15834^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94344 + ... + 99336.

Almost surely, 2483522120 is an apocalyptic number.

483522120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 483522120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788802300).

483522120 is an abundant number, since it is smaller than the sum of its proper divisors (1094082480).

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

483522120 is a wasteful number, since it uses less digits than its factorization.

483522120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5279 (or 5272 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 483522120 is about 21989.1364086905. The cubic root of 483522120 is about 784.8839510925.

The spelling of 483522120 in words is "four hundred eighty-three million, five hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 269 360 538 807 1076 1345 1614 2152 2421 2690 3228 4035 4842 4993 5380 6456 8070 9684 9986 10760 12105 14979 16140 19368 19972 24210 24965 29958 32280 39944 44937 48420 49930 59916 74895 89874 96840 99860 119832 149790 179748 199720 224685 299580 359496 449370 599160 898740 1343117 1797480 2686234 4029351 5372468 6715585 8058702 10744936 12088053 13431170 16117404 20146755 24176106 26862340 32234808 40293510 48352212 53724680 60440265 80587020 96704424 120880530 161174040 241761060 483522120