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256661461 = 7217308117
BaseRepresentation
bin11110100110001…
…01011111010101
3122212221202100001
433103011133111
51011201131321
641245051301
76234405100
oct1723053725
9585852301
10256661461
11121973611
1271b56b31
13412357b4
1426131737
15177ecc91
hexf4c57d5

256661461 has 12 divisors (see below), whose sum is σ = 316129068. Its totient is φ = 207053952.

The previous prime is 256661429. The next prime is 256661467. The reversal of 256661461 is 164166652.

It can be written as a sum of positive squares in 2 ways, for example, as 68807025 + 187854436 = 8295^2 + 13706^2 .

It is not a de Polignac number, because 256661461 - 25 = 256661429 is a prime.

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 256661461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256661467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153226 + ... + 154891.

It is an arithmetic number, because the mean of its divisors is an integer number (26344089).

Almost surely, 2256661461 is an apocalyptic number.

It is an amenable number.

256661461 is a deficient number, since it is larger than the sum of its proper divisors (59467607).

256661461 is a wasteful number, since it uses less digits than its factorization.

256661461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308148 (or 308141 counting only the distinct ones).

The product of its digits is 51840, while the sum is 37.

The square root of 256661461 is about 16020.6573210964. The cubic root of 256661461 is about 635.5068274740.

The spelling of 256661461 in words is "two hundred fifty-six million, six hundred sixty-one thousand, four hundred sixty-one".

Divisors: 1 7 17 49 119 833 308117 2156819 5237989 15097733 36665923 256661461