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4404313225 = 5213210212
BaseRepresentation
bin1000001101000010…
…00111110010001001
3102100221111021221001
410012201013302021
533010001010400
62005011415001
7214100021224
oct40641076211
912327437831
104404313225
111960135794
12a2abb4461
13552613300
142dad1c5bb
151ab9dba6a
hex106847c89

4404313225 has 27 divisors (see below), whose sum is σ = 5919565599. Its totient is φ = 3249230400.

The previous prime is 4404313163. The next prime is 4404313229. The reversal of 4404313225 is 5223134044.

It is a happy number.

The square root of 4404313225 is 66365.

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

It can be written as a sum of positive squares in 13 ways, for example, as 3927152889 + 477160336 = 62667^2 + 21844^2 .

It is not a de Polignac number, because 4404313225 - 219 = 4403788937 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4404313193 and 4404313202.

It is not an unprimeable number, because it can be changed into a prime (4404313229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4313215 + ... + 4314235.

Almost surely, 24404313225 is an apocalyptic number.

4404313225 is the 66365-th square number.

4404313225 is the 33183-rd centered octagonal number.

It is an amenable number.

4404313225 is a deficient number, since it is larger than the sum of its proper divisors (1515252374).

4404313225 is an equidigital number, since it uses as much as digits as its factorization.

4404313225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2078 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The cubic root of 4404313225 is about 1639.1778083036.

Adding to 4404313225 its reverse (5223134044), we get a palindrome (9627447269).

The spelling of 4404313225 in words is "four billion, four hundred four million, three hundred thirteen thousand, two hundred twenty-five".

Divisors: 1 5 13 25 65 169 325 845 1021 4225 5105 13273 25525 66365 172549 331825 862745 1042441 4313725 5212205 13551733 26061025 67758665 176172529 338793325 880862645 4404313225