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4288285225 = 527218712
BaseRepresentation
bin1111111110011010…
…0000101000101001
3102001212011110102201
43333212200220221
532240300111400
61545304500201
7211160552200
oct37746405051
912055143381
104288285225
111900697184
129b817a661
1353457a2a3
142c9758237
151a171d06a
hexff9a0a29

4288285225 has 27 divisors (see below), whose sum is σ = 6188940471. Its totient is φ = 2938966800.

The previous prime is 4288285223. The next prime is 4288285229. The reversal of 4288285225 is 5225828824.

The square root of 4288285225 is 65485.

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., 1543782681 + 2744502544 = 39291^2 + 52388^2 .

It is not a de Polignac number, because 4288285225 - 21 = 4288285223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4288285223) 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 26 ways as a sum of consecutive naturals, for example, 2291040 + ... + 2292910.

Almost surely, 24288285225 is an apocalyptic number.

4288285225 is the 65485-th square number.

4288285225 is the 32743-rd centered octagonal number.

It is an amenable number.

4288285225 is a deficient number, since it is larger than the sum of its proper divisors (1900655246).

4288285225 is an frugal number, since it uses more digits than its factorization.

4288285225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3766 (or 1883 counting only the distinct ones).

The product of its digits is 819200, while the sum is 46.

The cubic root of 4288285225 is about 1624.6552609921.

The spelling of 4288285225 in words is "four billion, two hundred eighty-eight million, two hundred eighty-five thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 1871 9355 13097 46775 65485 91679 327425 458395 2291975 3500641 17503205 24504487 87516025 122522435 171531409 612612175 857657045 4288285225