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256480225 = 5232032
BaseRepresentation
bin11110100100110…
…01001111100001
3122212121112201121
433102121033201
51011124331400
641241132241
76233021521
oct1722311741
9585545647
10256480225
1112185a431
1271a8a081
13411a1161
14260c5681
15177b421a
hexf4993e1

256480225 has 9 divisors (see below), whose sum is σ = 318134803. Its totient is φ = 205120120.

The previous prime is 256480223. The next prime is 256480247. The reversal of 256480225 is 522084652.

The square root of 256480225 is 16015.

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., 92332881 + 164147344 = 9609^2 + 12812^2 .

It is not a de Polignac number, because 256480225 - 21 = 256480223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (256480223) 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, 78474 + ... + 81676.

Almost surely, 2256480225 is an apocalyptic number.

256480225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

256480225 is the 16015-th square number.

256480225 is the 8008-th centered octagonal number.

It is an amenable number.

256480225 is a deficient number, since it is larger than the sum of its proper divisors (61654578).

256480225 is an frugal number, since it uses more digits than its factorization.

256480225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6416 (or 3208 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

The cubic root of 256480225 is about 635.3572090682.

The spelling of 256480225 in words is "two hundred fifty-six million, four hundred eighty thousand, two hundred twenty-five".

Divisors: 1 5 25 3203 16015 80075 10259209 51296045 256480225