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480822930 = 232571940169
BaseRepresentation
bin11100101010001…
…100011010010010
31020111202100001200
4130222030122102
51441042313210
6115413412030
714625633060
oct3452143222
91214670050
10480822930
11227459425
1211503a016
13787cc413
1447c03030
152c32b0c0
hex1ca8c692

480822930 has 96 divisors (see below), whose sum is σ = 1503964800. Its totient is φ = 104115456.

The previous prime is 480822877. The next prime is 480822931. The reversal of 480822930 is 39228084.

It is a super-3 number, since 3×4808229303 (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (480822931) 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 47 ways as a sum of consecutive naturals, for example, 8115 + ... + 32054.

It is an arithmetic number, because the mean of its divisors is an integer number (15666300).

Almost surely, 2480822930 is an apocalyptic number.

480822930 is an abundant number, since it is smaller than the sum of its proper divisors (1023141870).

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

480822930 is a wasteful number, since it uses less digits than its factorization.

480822930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40208 (or 40205 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 480822930 is about 21927.6749793497. The cubic root of 480822930 is about 783.4207258264.

The spelling of 480822930 in words is "four hundred eighty million, eight hundred twenty-two thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 30 35 38 42 45 57 63 70 90 95 105 114 126 133 171 190 210 266 285 315 342 399 570 630 665 798 855 1197 1330 1710 1995 2394 3990 5985 11970 40169 80338 120507 200845 241014 281183 361521 401690 562366 602535 723042 763211 843549 1205070 1405915 1526422 1687098 1807605 2289633 2530647 2811830 3615210 3816055 4217745 4579266 5061294 5342477 6868899 7632110 8435490 10684954 11448165 12653235 13737798 16027431 22896330 25306470 26712385 32054862 34344495 48082293 53424770 68688990 80137155 96164586 160274310 240411465 480822930