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3970890225 = 325242012
BaseRepresentation
bin1110110010101110…
…1111100111110001
3101020201221010100100
43230223233213301
531113021441400
61454005543013
7200255003301
oct35453574761
911221833310
103970890225
111758511665
12929a14a69
134b389b9b3
14299537601
15183925100
hexecaef9f1

3970890225 has 27 divisors (see below), whose sum is σ = 7113999009. Its totient is φ = 2117304000.

The previous prime is 3970890211. The next prime is 3970890251. The reversal of 3970890225 is 5220980793.

The square root of 3970890225 is 63015.

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 1596082401 + 2374807824 = 39951^2 + 48732^2 .

It is not a de Polignac number, because 3970890225 - 213 = 3970882033 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 943125 + ... + 947325.

Almost surely, 23970890225 is an apocalyptic number.

3970890225 is the 63015-th square number.

3970890225 is the 31508-th centered octagonal number.

It is an amenable number.

3970890225 is a deficient number, since it is larger than the sum of its proper divisors (3143108784).

3970890225 is an frugal number, since it uses more digits than its factorization.

3970890225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8418 (or 4209 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The cubic root of 3970890225 is about 1583.5409322131.

The spelling of 3970890225 in words is "three billion, nine hundred seventy million, eight hundred ninety thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 4201 12603 21005 37809 63015 105025 189045 315075 945225 17648401 52945203 88242005 158835609 264726015 441210025 794178045 1323630075 3970890225