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2083466025 = 32521721792
BaseRepresentation
bin111110000101111…
…0010101100101001
312101012102001002100
41330023302230221
513231331403100
6542423524013
7102426111654
oct17413625451
95335361070
102083466025
1197a075953
124a18b9609
1327284c244
1415a9c489b
15c2d9d400
hex7c2f2b29

2083466025 has 81 divisors (see below), whose sum is σ = 3986414341. Its totient is φ = 1039975680.

The previous prime is 2083465999. The next prime is 2083466027. The reversal of 2083466025 is 5206643802.

The square root of 2083466025 is 45645.

It is a perfect power (a square), and thus also a powerful number.

2083466025 is a `hidden beast` number, since 2 + 0 + 8 + 3 + 46 + 602 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 48734361 + 2034731664 = 6981^2 + 45108^2 .

It is not a de Polignac number, because 2083466025 - 215 = 2083433257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2083466027) 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 80 ways as a sum of consecutive naturals, for example, 11639386 + ... + 11639564.

Almost surely, 22083466025 is an apocalyptic number.

2083466025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2083466025 is the 45645-th square number.

2083466025 is the 22823-rd centered octagonal number.

It is an amenable number.

2083466025 is a deficient number, since it is larger than the sum of its proper divisors (1902948316).

2083466025 is a wasteful number, since it uses less digits than its factorization.

2083466025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The cubic root of 2083466025 is about 1277.2095021805.

Multiplying 2083466025 by its sum of digits (36), we get a square (75004776900 = 2738702).

The spelling of 2083466025 in words is "two billion, eighty-three million, four hundred sixty-six thousand, twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 153 179 225 255 289 425 537 765 867 895 1275 1445 1611 2601 2685 3043 3825 4335 4475 7225 8055 9129 13005 13425 15215 21675 27387 32041 40275 45645 51731 65025 76075 96123 136935 155193 160205 228225 258655 288369 465579 480615 544697 684675 775965 801025 1293275 1441845 1634091 2327895 2403075 2723485 3879825 4902273 7209225 8170455 9259849 11639475 13617425 24511365 27779547 40852275 46299245 83338641 122556825 138897735 231496225 416693205 694488675 2083466025