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3649972225 = 524322812
BaseRepresentation
bin1101100110001110…
…0010100000000001
3100102101001210121111
43121203202200001
524433343102400
61402103323321
7156310152304
oct33143424001
910371053544
103649972225
111603350179
1285a450541
134622589a3
14268a7ab3b
151656833ba
hexd98e2801

3649972225 has 27 divisors (see below), whose sum is σ = 4650216969. Its totient is φ = 2841921600.

The previous prime is 3649972223. The next prime is 3649972229. The reversal of 3649972225 is 5222799463.

The square root of 3649972225 is 60415.

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 5193841 + 3644778384 = 2279^2 + 60372^2 .

It is not a de Polignac number, because 3649972225 - 21 = 3649972223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3649972223) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12989085 + ... + 12989365.

Almost surely, 23649972225 is an apocalyptic number.

3649972225 is the 60415-th square number.

3649972225 is the 30208-th centered octagonal number.

It is an amenable number.

3649972225 is a deficient number, since it is larger than the sum of its proper divisors (1000244744).

3649972225 is an frugal number, since it uses more digits than its factorization.

3649972225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 329 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 49.

The cubic root of 3649972225 is about 1539.6778188388.

Multiplying 3649972225 by its sum of digits (49), we get a square (178848639025 = 4229052).

The spelling of 3649972225 in words is "three billion, six hundred forty-nine million, nine hundred seventy-two thousand, two hundred twenty-five".

Divisors: 1 5 25 43 215 281 1075 1405 1849 7025 9245 12083 46225 60415 78961 302075 394805 519569 1974025 2597845 3395323 12989225 16976615 84883075 145998889 729994445 3649972225