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4783797225 = 3452292532
BaseRepresentation
bin1000111010010001…
…01111001111101001
3110100101120002010000
410131020233033221
534244123002400
62110405213213
7226355414454
oct43510571751
913311502100
104783797225
112035368729
12b16101209
135b312065c
143354a249b
151cee9b600
hex11d22f3e9

4783797225 has 135 divisors (see below), whose sum is σ = 9353767423. Its totient is φ = 2416901760.

The previous prime is 4783797217. The next prime is 4783797247. The reversal of 4783797225 is 5227973874.

The square root of 4783797225 is 69165.

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

4783797225 is a `hidden beast` number, since 47 + 8 + 379 + 7 + 225 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 1863907929 + 2919889296 = 43173^2 + 54036^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 4783797225 - 23 = 4783797217 is a prime.

It is a Duffinian number.

Its product of digits (5927040) is a multiple of the sum of its prime divisors (90).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 90260299 + ... + 90260351.

Almost surely, 24783797225 is an apocalyptic number.

4783797225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4783797225 is the 69165-th square number.

4783797225 is the 34583-rd centered octagonal number.

It is an amenable number.

4783797225 is a deficient number, since it is larger than the sum of its proper divisors (4569970198).

4783797225 is an equidigital number, since it uses as much as digits as its factorization.

4783797225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 90 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 54.

The cubic root of 4783797225 is about 1684.9651423490.

The spelling of 4783797225 in words is "four billion, seven hundred eighty-three million, seven hundred ninety-seven thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 29 45 53 75 81 87 135 145 159 225 261 265 405 435 477 675 725 783 795 841 1305 1325 1431 1537 2025 2175 2349 2385 2523 2809 3915 3975 4205 4293 4611 6525 7155 7569 7685 8427 11745 11925 12615 13833 14045 19575 21025 21465 22707 23055 25281 35775 37845 38425 41499 42135 44573 58725 63075 68121 69165 70225 75843 81461 107325 113535 115275 124497 126405 133719 189225 207495 210675 222865 227529 244383 340605 345825 379215 401157 407305 567675 622485 632025 668595 733149 1037475 1114325 1137645 1203471 1221915 1703025 1896075 2005785 2036525 2199447 2362369 3112425 3342975 3610413 3665745 5688225 6017355 6109575 6598341 7087107 10028925 10997235 11811845 18052065 18328725 21261321 30086775 32991705 35435535 54986175 59059225 63783963 90260325 106306605 164958525 177177675 191351889 318919815 531533025 956759445 1594599075 4783797225