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32482852900 = 22526722692
BaseRepresentation
bin11110010000001000…
…010000000000100100
310002211210012220020221
4132100020100000210
51013011102243100
622531124134124
72226645460021
oct362010200044
9102753186227
1032482852900
11128597a6183
126366537344
1330a889c824
1418020b4548
15ca1ab901a
hex790210024

32482852900 has 81 divisors (see below), whose sum is σ = 71822544339. Its totient is φ = 12751632960.

The previous prime is 32482852889. The next prime is 32482852907. The reversal of 32482852900 is 925828423.

The square root of 32482852900 is 180230.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 12459470884 + 20023382016 = 111622^2 + 141504^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32482852907) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 120753966 + ... + 120754234.

Almost surely, 232482852900 is an apocalyptic number.

32482852900 is the 180230-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32482852900

32482852900 is an abundant number, since it is smaller than the sum of its proper divisors (39339691439).

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

32482852900 is an equidigital number, since it uses as much as digits as its factorization.

32482852900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 43.

The spelling of 32482852900 in words is "thirty-two billion, four hundred eighty-two million, eight hundred fifty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 67 100 134 268 269 335 538 670 1076 1340 1345 1675 2690 3350 4489 5380 6700 6725 8978 13450 17956 18023 22445 26900 36046 44890 72092 72361 89780 90115 112225 144722 180230 224450 289444 360460 361805 448900 450575 723610 901150 1207541 1447220 1802300 1809025 2415082 3618050 4830164 4848187 6037705 7236100 9696374 12075410 19392748 24150820 24240935 30188525 48481870 60377050 96963740 120754100 121204675 242409350 324828529 484818700 649657058 1299314116 1624142645 3248285290 6496570580 8120713225 16241426450 32482852900