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450123025 = 52112178753
BaseRepresentation
bin11010110101000…
…101010100010001
31011100222121201011
4122311011110101
51410212414100
6112355410521
714103661012
oct3265052421
91140877634
10450123025
112110a0100
121068b3a41
13723409b1
1443ad1009
15297b4bba
hex1ad45511

450123025 has 36 divisors (see below), whose sum is σ = 649669356. Its totient is φ = 308070400.

The previous prime is 450123017. The next prime is 450123043. The reversal of 450123025 is 520321054.

It can be written as a sum of positive squares in 6 ways, for example, as 20638849 + 429484176 = 4543^2 + 20724^2 .

It is not a de Polignac number, because 450123025 - 23 = 450123017 is a prime.

It is a super-4 number, since 4×4501230254 (a number of 36 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 450122987 and 450123005.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 47049 + ... + 55801.

It is an arithmetic number, because the mean of its divisors is an integer number (18046371).

Almost surely, 2450123025 is an apocalyptic number.

It is an amenable number.

450123025 is a deficient number, since it is larger than the sum of its proper divisors (199546331).

450123025 is a wasteful number, since it uses less digits than its factorization.

450123025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8802 (or 8786 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 450123025 is about 21216.1029644937. The cubic root of 450123025 is about 766.3792595254.

Adding to 450123025 its reverse (520321054), we get a palindrome (970444079).

The spelling of 450123025 in words is "four hundred fifty million, one hundred twenty-three thousand, twenty-five".

Divisors: 1 5 11 17 25 55 85 121 187 275 425 605 935 2057 3025 4675 8753 10285 43765 51425 96283 148801 218825 481415 744005 1059113 1636811 2407075 3720025 5295565 8184055 18004921 26477825 40920275 90024605 450123025