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482841648 = 2434292443
BaseRepresentation
bin11100110001111…
…001010000110000
31020122112220020000
4130301321100300
51442101413043
6115524550000
714652041412
oct3461712060
91218486200
10482841648
11228608093
12115852300
1379058223
14481aa9b2
152c5c92d3
hex1cc79430

482841648 has 150 divisors (see below), whose sum is σ = 1450601724. Its totient is φ = 155046528.

The previous prime is 482841641. The next prime is 482841679. The reversal of 482841648 is 846148284.

482841648 is a `hidden beast` number, since 482 + 8 + 4 + 164 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (482841641) 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 29 ways as a sum of consecutive naturals, for example, 1089715 + ... + 1090157.

Almost surely, 2482841648 is an apocalyptic number.

482841648 is a gapful number since it is divisible by the number (48) 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 482841648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725300862).

482841648 is an abundant number, since it is smaller than the sum of its proper divisors (967760076).

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

482841648 is a wasteful number, since it uses less digits than its factorization.

482841648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 477 counting only the distinct ones).

The product of its digits is 393216, while the sum is 45.

The square root of 482841648 is about 21973.6580477626. The cubic root of 482841648 is about 784.5155830473.

The spelling of 482841648 in words is "four hundred eighty-two million, eight hundred forty-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 81 87 108 116 144 162 174 216 232 261 324 348 432 443 464 522 648 696 783 841 886 1044 1296 1329 1392 1566 1682 1772 2088 2349 2523 2658 3132 3364 3544 3987 4176 4698 5046 5316 6264 6728 7088 7569 7974 9396 10092 10632 11961 12528 12847 13456 15138 15948 18792 20184 21264 22707 23922 25694 30276 31896 35883 37584 38541 40368 45414 47844 51388 60552 63792 68121 71766 77082 90828 95688 102776 115623 121104 136242 143532 154164 181656 191376 205552 231246 272484 287064 308328 346869 363312 372563 462492 544968 574128 616656 693738 745126 924984 1040607 1089936 1117689 1387476 1490252 1849968 2081214 2235378 2774952 2980504 3353067 4162428 4470756 5549904 5961008 6706134 8324856 8941512 10059201 13412268 16649712 17883024 20118402 26824536 30177603 40236804 53649072 60355206 80473608 120710412 160947216 241420824 482841648