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483683040 = 25325383877
BaseRepresentation
bin11100110101000…
…110101011100000
31020201010122101200
4130311012223200
51442310324130
6115555001200
714662144431
oct3465065340
91221118350
10483683040
11229032255
12115b99200
13792911a9
1448349488
152c6e3760
hex1cd46ae0

483683040 has 144 divisors (see below), whose sum is σ = 1656764928. Its totient is φ = 128498688.

The previous prime is 483683033. The next prime is 483683051. The reversal of 483683040 is 40386384.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 483682986 and 483683004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 551082 + ... + 551958.

It is an arithmetic number, because the mean of its divisors is an integer number (11505312).

Almost surely, 2483683040 is an apocalyptic number.

483683040 is a gapful number since it is divisible by the number (40) 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 483683040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828382464).

483683040 is an abundant number, since it is smaller than the sum of its proper divisors (1173081888).

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

483683040 is a wasteful number, since it uses less digits than its factorization.

483683040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 483683040 is about 21992.7951838778. The cubic root of 483683040 is about 784.9710133048.

The spelling of 483683040 in words is "four hundred eighty-three million, six hundred eighty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 383 480 720 766 877 1149 1440 1532 1754 1915 2298 2631 3064 3447 3508 3830 4385 4596 5262 5745 6128 6894 7016 7660 7893 8770 9192 10524 11490 12256 13155 13788 14032 15320 15786 17235 17540 18384 21048 22980 26310 27576 28064 30640 31572 34470 35080 36768 39465 42096 45960 52620 55152 61280 63144 68940 70160 78930 84192 91920 105240 110304 126288 137880 140320 157860 183840 210480 252576 275760 315720 335891 420960 551520 631440 671782 1007673 1262880 1343564 1679455 2015346 2687128 3023019 3358910 4030692 5038365 5374256 6046038 6717820 8061384 10076730 10748512 12092076 13435640 15115095 16122768 20153460 24184152 26871280 30230190 32245536 40306920 48368304 53742560 60460380 80613840 96736608 120920760 161227680 241841520 483683040