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4264225 = 5272592
BaseRepresentation
bin10000010001000100100001
322000122102021
4100101010201
52042423400
6231221441
751150100
oct20210441
98018367
104264225
112452859
121517881
13b63c14
147d0037
1559371a
hex411121

4264225 has 27 divisors (see below), whose sum is σ = 6256947. Its totient is φ = 2874480.

The previous prime is 4264219. The next prime is 4264237. The reversal of 4264225 is 5224624.

The square root of 4264225 is 2065.

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., 1535121 + 2729104 = 1239^2 + 1652^2 .

It is not a de Polignac number, because 4264225 - 25 = 4264193 is a prime.

It is a super-2 number, since 2×42642252 = 36367229701250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a d-powerful number, because it can be written as 44 + 2 + 6 + 46 + 216 + 222 + 52 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4264225.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 72246 + ... + 72304.

Almost surely, 24264225 is an apocalyptic number.

4264225 is the 2065-th square number.

4264225 is the 1033-rd centered octagonal number.

It is an amenable number.

4264225 is a deficient number, since it is larger than the sum of its proper divisors (1992722).

4264225 is an equidigital number, since it uses as much as digits as its factorization.

4264225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 71 counting only the distinct ones).

The product of its digits is 3840, while the sum is 25.

The cubic root of 4264225 is about 162.1611083327.

Multiplying 4264225 by its sum of digits (25), we get a square (106605625 = 103252).

4264225 divided by its sum of digits (25) gives a square (170569 = 4132).

Adding to 4264225 its reverse (5224624), we get a palindrome (9488849).

It can be divided in two parts, 4264 and 225, that added together give a square (4489 = 672).

The spelling of 4264225 in words is "four million, two hundred sixty-four thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 59 175 245 295 413 1225 1475 2065 2891 3481 10325 14455 17405 24367 72275 87025 121835 170569 609175 852845 4264225