Search a number
-
+
482001220 = 225373132081
BaseRepresentation
bin11100101110101…
…100000101000100
31020120222012101001
4130232230011010
51441343014340
6115454543044
714641641241
oct3456540504
91216865331
10482001220
11228093718
12115507a84
1378b2282c
144802c5c8
152c4b029a
hex1cbac144

482001220 has 48 divisors (see below), whose sum is σ = 1043381808. Its totient is φ = 186900480.

The previous prime is 482001193. The next prime is 482001229. The reversal of 482001220 is 22100284.

It can be written as a sum of positive squares in 8 ways, for example, as 31203396 + 450797824 = 5586^2 + 21232^2 .

It is not an unprimeable number, because it can be changed into a prime (482001229) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 230580 + ... + 232660.

It is an arithmetic number, because the mean of its divisors is an integer number (21737121).

Almost surely, 2482001220 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 482001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521690904).

482001220 is an abundant number, since it is smaller than the sum of its proper divisors (561380588).

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

482001220 is a wasteful number, since it uses less digits than its factorization.

482001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2440 (or 2438 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 482001220 is about 21954.5261848212. The cubic root of 482001220 is about 784.0601461041.

The spelling of 482001220 in words is "four hundred eighty-two million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 313 370 626 740 1252 1565 2081 3130 4162 6260 8324 10405 11581 20810 23162 41620 46324 57905 76997 115810 153994 231620 307988 384985 651353 769970 1302706 1539940 2605412 3256765 6513530 13027060 24100061 48200122 96400244 120500305 241000610 482001220