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452285289 = 341721392
BaseRepresentation
bin11010111101010…
…101001101101001
31011112001110210000
4122331111031221
51411241112124
6112514013213
714131235001
oct3275251551
91145043700
10452285289
112123376a5
12107577209
1372919c41
14440d5001
1529a906c9
hex1af55369

452285289 has 45 divisors (see below), whose sum is σ = 722917767. Its totient is φ = 281745216.

The previous prime is 452285279. The next prime is 452285311. The reversal of 452285289 is 982582254.

The square root of 452285289 is 21267.

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

It can be written as a sum of positive squares in only one way, i.e., 352125225 + 100160064 = 18765^2 + 10008^2 .

It is not a de Polignac number, because 452285289 - 213 = 452277097 is a prime.

It is a super-4 number, since 4×4522852894 (a number of 36 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (452285269) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 3253782 + ... + 3253920.

Almost surely, 2452285289 is an apocalyptic number.

452285289 is the 21267-th square number.

452285289 is the 10634-th centered octagonal number.

It is an amenable number.

452285289 is a deficient number, since it is larger than the sum of its proper divisors (270632478).

452285289 is an equidigital number, since it uses as much as digits as its factorization.

452285289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 159 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The cubic root of 452285289 is about 767.6044563520.

The spelling of 452285289 in words is "four hundred fifty-two million, two hundred eighty-five thousand, two hundred eighty-nine".

Divisors: 1 3 9 17 27 51 81 139 153 289 417 459 867 1251 1377 2363 2601 3753 7089 7803 11259 19321 21267 23409 40171 57963 63801 120513 173889 191403 328457 361539 521667 985371 1084617 1565001 2956113 3253851 5583769 8868339 16751307 26605017 50253921 150761763 452285289