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3726810225 = 325259383733
BaseRepresentation
bin1101111000100010…
…1001110001110001
3100121201122120112100
43132020221301301
530113030411400
61413450251013
7161232235635
oct33610516161
910551576470
103726810225
111642761756
12880126a69
1347514ca68
14274d5cdc5
1516c2b0100
hexde229c71

3726810225 has 72 divisors (see below), whose sum is σ = 6815278080. Its totient is φ = 1946183040.

The previous prime is 3726810209. The next prime is 3726810247. The reversal of 3726810225 is 5220186273.

3726810225 is a `hidden beast` number, since 372 + 68 + 1 + 0 + 225 = 666.

3726810225 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3726810225 - 24 = 3726810209 is a prime.

It is a super-2 number, since 2×37268102252 = 27778228906329101250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3726810225.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5083959 + ... + 5084691.

It is an arithmetic number, because the mean of its divisors is an integer number (94656640).

Almost surely, 23726810225 is an apocalyptic number.

It is an amenable number.

3726810225 is a deficient number, since it is larger than the sum of its proper divisors (3088467855).

3726810225 is a wasteful number, since it uses less digits than its factorization.

3726810225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 3726810225 is about 61047.6062184260. The cubic root of 3726810225 is about 1550.4071389717.

Adding to 3726810225 its reverse (5220186273), we get a palindrome (8946996498).

The spelling of 3726810225 in words is "three billion, seven hundred twenty-six million, eight hundred ten thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 59 75 177 225 295 383 531 733 885 1149 1475 1915 2199 2655 3447 3665 4425 5745 6597 9575 10995 13275 17235 18325 22597 28725 32985 43247 54975 67791 86175 112985 129741 164925 203373 216235 280739 338955 389223 564925 648705 842217 1016865 1081175 1403695 1694775 1946115 2526651 3243525 4211085 5084325 7018475 9730575 12633255 16563601 21055425 49690803 63166275 82818005 149072409 248454015 414090025 745362045 1242270075 3726810225