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427042225 = 5241332
BaseRepresentation
bin11001011101000…
…010010110110001
31002202112222210201
4121131002112301
51333310322400
6110212555201
713403541031
oct3135022661
91082488721
10427042225
111aa066165
12bb022b01
136a61c20c
1440a038c1
152775606a
hex197425b1

427042225 has 9 divisors (see below), whose sum is σ = 529660513. Its totient is φ = 341551120.

The previous prime is 427042207. The next prime is 427042229. The reversal of 427042225 is 522240724.

The square root of 427042225 is 20665.

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 4986289 + 422055936 = 2233^2 + 20544^2 .

It is not a de Polignac number, because 427042225 - 219 = 426517937 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 427042193 and 427042202.

It is not an unprimeable number, because it can be changed into a prime (427042229) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 101259 + ... + 105391.

Almost surely, 2427042225 is an apocalyptic number.

427042225 is the 20665-th square number.

427042225 is the 10333-rd centered octagonal number.

It is an amenable number.

427042225 is a deficient number, since it is larger than the sum of its proper divisors (102618288).

427042225 is an frugal number, since it uses more digits than its factorization.

427042225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8276 (or 4138 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 28.

The cubic root of 427042225 is about 753.0496420298.

Adding to 427042225 its reverse (522240724), we get a palindrome (949282949).

The spelling of 427042225 in words is "four hundred twenty-seven million, forty-two thousand, two hundred twenty-five".

Divisors: 1 5 25 4133 20665 103325 17081689 85408445 427042225