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482130432 = 2932714947
BaseRepresentation
bin11100101111001…
…011101000000000
31020121012202121200
4130233023220000
51441411133212
6115501421200
714643020040
oct3457135000
91217182550
10482130432
11228171803
1211556a800
1378b695a4
1448063720
152c4d86dc
hex1cbcba00

482130432 has 120 divisors (see below), whose sum is σ = 1590347616. Its totient is φ = 137742336.

The previous prime is 482130431. The next prime is 482130437. The reversal of 482130432 is 234031284.

It is a junction number, because it is equal to n+sod(n) for n = 482130396 and 482130405.

It is not an unprimeable number, because it can be changed into a prime (482130431) 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 11 ways as a sum of consecutive naturals, for example, 24783 + ... + 39729.

Almost surely, 2482130432 is an apocalyptic number.

482130432 is a gapful number since it is divisible by the number (42) 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 482130432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795173808).

482130432 is an abundant number, since it is smaller than the sum of its proper divisors (1108217184).

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

482130432 is a wasteful number, since it uses less digits than its factorization.

482130432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14978 (or 14959 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 482130432 is about 21957.4687065700. The cubic root of 482130432 is about 784.1302018937.

It can be divided in two parts, 4821 and 30432, that added together give a palindrome (35253).

The spelling of 482130432 in words is "four hundred eighty-two million, one hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1152 1344 1536 1792 2016 2304 2688 3584 4032 4608 5376 8064 10752 14947 16128 29894 32256 44841 59788 89682 104629 119576 134523 179364 209258 239152 269046 313887 358728 418516 478304 538092 627774 717456 837032 941661 956608 1076184 1255548 1434912 1674064 1883322 1913216 2152368 2511096 2869824 3348128 3766644 3826432 4304736 5022192 5739648 6696256 7533288 7652864 8609472 10044384 11479296 13392512 15066576 17218944 20088768 22958592 26785024 30133152 34437888 40177536 53570048 60266304 68875776 80355072 120532608 160710144 241065216 482130432