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1482772841 = 11289157877
BaseRepresentation
bin101100001100001…
…0101000101101001
310211100002122221122
41120120111011221
511014042212331
6403044545025
751513234614
oct13030250551
93740078848
101482772841
116a0a94200
123546b2175
131a826cca4
14100cdb17b
158a29517b
hex58615169

1482772841 has 24 divisors (see below), whose sum is σ = 1660526280. Its totient is φ = 1322830080.

The previous prime is 1482772807. The next prime is 1482772867.

1482772841 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 136983616 + 1345789225 = 11704^2 + 36685^2 .

It is not a de Polignac number, because 1482772841 - 218 = 1482510697 is a prime.

It is a super-2 number, since 2×14827728412 = 4397230596014422562, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1482772792 and 1482772801.

It is not an unprimeable number, because it can be changed into a prime (1482772541) 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 23 ways as a sum of consecutive naturals, for example, 1690295 + ... + 1691171.

It is an arithmetic number, because the mean of its divisors is an integer number (69188595).

Almost surely, 21482772841 is an apocalyptic number.

1482772841 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1482772841 is a deficient number, since it is larger than the sum of its proper divisors (177753439).

1482772841 is a wasteful number, since it uses less digits than its factorization.

1482772841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1134 counting only the distinct ones).

The product of its digits is 200704, while the sum is 44.

The square root of 1482772841 is about 38506.7895441830. The cubic root of 1482772841 is about 1140.3150973144.

The spelling of 1482772841 in words is "one billion, four hundred eighty-two million, seven hundred seventy-two thousand, eight hundred forty-one".

Divisors: 1 11 89 121 157 877 979 1727 9647 10769 13973 18997 78053 106117 137689 153703 858583 1514579 1690733 9444413 12254321 16660369 134797531 1482772841