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450925225 = 523121372
BaseRepresentation
bin11010111000001…
…001001010101001
31011102111101010021
4122320021022221
51410414101400
6112424520441
714113541542
oct3270111251
91142441107
10450925225
11211598883
12107020121
1372561b7a
1443c5d4c9
15298c271a
hex1ae092a9

450925225 has 27 divisors (see below), whose sum is σ = 582014181. Its totient is φ = 346555200.

The previous prime is 450925199. The next prime is 450925229. The reversal of 450925225 is 522529054.

The square root of 450925225 is 21235.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1315609 + 449609616 = 1147^2 + 21204^2 .

It is not a de Polignac number, because 450925225 - 221 = 448828073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (450925229) 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, 3291357 + ... + 3291493.

Almost surely, 2450925225 is an apocalyptic number.

450925225 is the 21235-th square number.

450925225 is the 10618-th centered octagonal number.

It is an amenable number.

450925225 is a deficient number, since it is larger than the sum of its proper divisors (131088956).

450925225 is an equidigital number, since it uses as much as digits as its factorization.

450925225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

The cubic root of 450925225 is about 766.8342644517.

The spelling of 450925225 in words is "four hundred fifty million, nine hundred twenty-five thousand, two hundred twenty-five".

Divisors: 1 5 25 31 137 155 685 775 961 3425 4247 4805 18769 21235 24025 93845 106175 131657 469225 581839 658285 2909195 3291425 14545975 18037009 90185045 450925225