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2882079225 = 345211932
BaseRepresentation
bin1010101111001001…
…0000100111111001
321102212010210110000
42223302100213321
521400303013400
61153552543213
7131264161224
oct25362204771
97385123400
102882079225
111249949863
12685251b09
1336c137b2c
141d4aac5bb
1511d04e600
hexabc909f9

2882079225 has 45 divisors (see below), whose sum is σ = 5343085693. Its totient is φ = 1535820480.

The previous prime is 2882079197. The next prime is 2882079227. The reversal of 2882079225 is 5229702882.

The square root of 2882079225 is 53685.

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 47155689 + 2834923536 = 6867^2 + 53244^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 2882079225 - 29 = 2882078713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2882079227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2415229 + ... + 2416421.

Almost surely, 22882079225 is an apocalyptic number.

2882079225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2882079225 is the 53685-th square number.

2882079225 is the 26843-rd centered octagonal number.

It is an amenable number.

2882079225 is a deficient number, since it is larger than the sum of its proper divisors (2461006468).

2882079225 is an frugal number, since it uses more digits than its factorization.

2882079225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2408 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The cubic root of 2882079225 is about 1423.0996274645.

The spelling of 2882079225 in words is "two billion, eight hundred eighty-two million, seventy-nine thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 1193 2025 3579 5965 10737 17895 29825 32211 53685 89475 96633 161055 268425 483165 805275 1423249 2415825 4269747 7116245 12809241 21348735 35581225 38427723 64046205 106743675 115283169 192138615 320231025 576415845 960693075 2882079225