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256413325 = 5272209317
BaseRepresentation
bin11110100100010…
…00111010001101
3122212111010221211
433102020322031
51011120211300
641235454421
76232322500
oct1722107215
9585433854
10256413325
11121814143
1271a57411
134117987c
14260a9137
151779e4ba
hexf488e8d

256413325 has 18 divisors (see below), whose sum is σ = 369864906. Its totient is φ = 175825440.

The previous prime is 256413323. The next prime is 256413337. The reversal of 256413325 is 523314652.

It is a happy number.

256413325 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 4588164 + 251825161 = 2142^2 + 15869^2 .

It is not a de Polignac number, because 256413325 - 21 = 256413323 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256413323) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 103434 + ... + 105883.

Almost surely, 2256413325 is an apocalyptic number.

256413325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

256413325 is a deficient number, since it is larger than the sum of its proper divisors (113451581).

256413325 is a wasteful number, since it uses less digits than its factorization.

256413325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209341 (or 209329 counting only the distinct ones).

The product of its digits is 21600, while the sum is 31.

The square root of 256413325 is about 16012.9111969061. The cubic root of 256413325 is about 635.3019623223.

Adding to 256413325 its reverse (523314652), we get a palindrome (779727977).

The spelling of 256413325 in words is "two hundred fifty-six million, four hundred thirteen thousand, three hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 209317 1046585 1465219 5232925 7326095 10256533 36630475 51282665 256413325