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256373568 = 26321143941
BaseRepresentation
bin11110100011111…
…11001101000000
3122212102010102100
433101333031000
51011112423233
641234550400
76232065543
oct1721771500
9585363370
10256373568
11121797290
1271a38400
1341164749
142609885a
1517792813
hexf47f340

256373568 has 168 divisors, whose sum is σ = 821167776. Its totient is φ = 75801600.

The previous prime is 256373563. The next prime is 256373569. The reversal of 256373568 is 865373652.

256373568 is a `hidden beast` number, since 2 + 5 + 637 + 3 + 5 + 6 + 8 = 666.

256373568 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256373563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 271978 + ... + 272918.

Almost surely, 2256373568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256373568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410583888).

256373568 is an abundant number, since it is smaller than the sum of its proper divisors (564794208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

256373568 is a wasteful number, since it uses less digits than its factorization.

256373568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 1000 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 256373568 is about 16011.6697442834. The cubic root of 256373568 is about 635.2691260079.

The spelling of 256373568 in words is "two hundred fifty-six million, three hundred seventy-three thousand, five hundred sixty-eight".