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483560100 = 2232527332
BaseRepresentation
bin11100110100101…
…000101010100100
31020200220101202100
4130310220222210
51442242410400
6115552212100
714661123132
oct3464505244
91220811670
10483560100
11228a58951
12115b3a030
137924a24a
1448316752
152c6bc100
hex1cd28aa4

483560100 has 81 divisors (see below), whose sum is σ = 1517762883. Its totient is φ = 128773440.

The previous prime is 483560093. The next prime is 483560101. The reversal of 483560100 is 1065384.

The square root of 483560100 is 21990.

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 109369764 + 374190336 = 10458^2 + 19344^2 .

It is a super-3 number, since 3×4835601003 (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (483560101) 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 26 ways as a sum of consecutive naturals, for example, 659334 + ... + 660066.

Almost surely, 2483560100 is an apocalyptic number.

483560100 is the 21990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 483560100

483560100 is an abundant number, since it is smaller than the sum of its proper divisors (1034202783).

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

483560100 is a wasteful number, since it uses less digits than its factorization.

483560100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The cubic root of 483560100 is about 784.9045010741.

The spelling of 483560100 in words is "four hundred eighty-three million, five hundred sixty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 733 900 1466 2199 2932 3665 4398 6597 7330 8796 10995 13194 14660 18325 21990 26388 32985 36650 43980 54975 65970 73300 109950 131940 164925 219900 329850 537289 659700 1074578 1611867 2149156 2686445 3223734 4835601 5372890 6447468 8059335 9671202 10745780 13432225 16118670 19342404 24178005 26864450 32237340 40296675 48356010 53728900 80593350 96712020 120890025 161186700 241780050 483560100