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4730000625 = 3254721312
BaseRepresentation
bin1000110011110111…
…00001010011110001
3110012122022221001100
410121323201103301
534141340010000
62101204155013
7225133225200
oct43173412361
913178287040
104730000625
112007a64529
12b00098a69
135a4c3614c
1432c29b237
151ca3c1a00
hex119ee14f1

4730000625 has 135 divisors (see below), whose sum is σ = 10007822253. Its totient is φ = 2145780000.

The previous prime is 4730000603. The next prime is 4730000641. The reversal of 4730000625 is 5260000374.

It is a happy number.

The square root of 4730000625 is 68775.

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

4730000625 is a `hidden beast` number, since 4 + 7 + 30 + 0 + 0 + 0 + 625 = 666.

4730000625 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 370832049 + 4359168576 = 19257^2 + 66024^2 .

It is not a de Polignac number, because 4730000625 - 215 = 4729967857 is a prime.

It is an unprimeable number.

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 134 ways as a sum of consecutive naturals, for example, 36106810 + ... + 36106940.

Almost surely, 24730000625 is an apocalyptic number.

4730000625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4730000625 is the 68775-th square number.

4730000625 is the 34388-th centered octagonal number.

It is an amenable number.

4730000625 is an abundant number, since it is smaller than the sum of its proper divisors (5277821628).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4730000625 is an equidigital number, since it uses as much as digits as its factorization.

4730000625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The cubic root of 4730000625 is about 1678.6251773084.

Adding to 4730000625 its reverse (5260000374), we get a palindrome (9990000999).

It can be divided in two parts, 4730000 and 625, that added together give a square (4730625 = 21752).

The spelling of 4730000625 in words is "four billion, seven hundred thirty million, six hundred twenty-five", and thus it is an aban number.

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 125 131 147 175 225 245 315 375 393 441 525 625 655 735 875 917 1125 1179 1225 1575 1875 1965 2205 2625 2751 3275 3675 4375 4585 5625 5895 6125 6419 7875 8253 9825 11025 13125 13755 16375 17161 18375 19257 22925 29475 30625 32095 39375 41265 49125 51483 55125 57771 68775 81875 85805 91875 96285 114625 120127 147375 154449 160475 206325 245625 257415 275625 288855 343875 360381 429025 481425 573125 600635 736875 772245 802375 840889 1031625 1081143 1287075 1444275 1719375 1801905 2145125 2407125 2522667 3003175 3861225 4011875 4204445 5158125 5405715 6435375 7221375 7568001 9009525 10725625 12035625 12613335 15015875 19306125 21022225 27028575 32176875 36106875 37840005 45047625 63066675 75079375 96530625 105111125 135142875 189200025 225238125 315333375 525555625 675714375 946000125 1576666875 4730000625