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256245696 = 2632731297
BaseRepresentation
bin11110100010111…
…11111111000000
3122212011122000100
433101133333000
51011044330241
641232122400
76231024000
oct1721377700
9585148010
10256245696
1112170a203
1271996400
134111b495
1426064000
15177699b6
hexf45ffc0

256245696 has 168 divisors, whose sum is σ = 857199200. Its totient is φ = 73156608.

The previous prime is 256245677. The next prime is 256245707. The reversal of 256245696 is 696542652.

It is a happy number.

256245696 is a `hidden beast` number, since 25 + 62 + 4 + 569 + 6 = 666.

256245696 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 196920 + ... + 198216.

Almost surely, 2256245696 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 256245696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428599600).

256245696 is an abundant number, since it is smaller than the sum of its proper divisors (600953504).

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

256245696 is a wasteful number, since it uses less digits than its factorization.

256245696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1309 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 256245696 is about 16007.6761586434. The cubic root of 256245696 is about 635.1634902571.

The spelling of 256245696 in words is "two hundred fifty-six million, two hundred forty-five thousand, six hundred ninety-six".