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256188961 = 7149245627
BaseRepresentation
bin11110100010100…
…10001000100001
3122212001202012001
433101102020201
51011041021321
641231004001
76230366410
oct1721221041
9585052161
10256188961
11121680616
1271969601
13410cb702
142604b477
1517757c91
hexf452221

256188961 has 8 divisors (see below), whose sum is σ = 294753600. Its totient is φ = 218115888.

The previous prime is 256188943. The next prime is 256189001. The reversal of 256188961 is 169881652.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 256188961 - 27 = 256188833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (256185961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121771 + ... + 123856.

It is an arithmetic number, because the mean of its divisors is an integer number (36844200).

Almost surely, 2256188961 is an apocalyptic number.

It is an amenable number.

256188961 is a deficient number, since it is larger than the sum of its proper divisors (38564639).

256188961 is a wasteful number, since it uses less digits than its factorization.

256188961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245783.

The product of its digits is 207360, while the sum is 46.

The square root of 256188961 is about 16005.9039419834. The cubic root of 256188961 is about 635.1166099113.

The spelling of 256188961 in words is "two hundred fifty-six million, one hundred eighty-eight thousand, nine hundred sixty-one".

Divisors: 1 7 149 1043 245627 1719389 36598423 256188961