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4486640256 = 273273111789
BaseRepresentation
bin1000010110110110…
…01011001010000000
3102120200101221101100
410023123023022000
533142034442011
62021112134400
7216116545560
oct41333131200
912520357340
104486640256
1119a265625a
12a52697400
135666a9927
14307c2cda0
151b3d4ed56
hex10b6cb280

4486640256 has 192 divisors, whose sum is σ = 14810889600. Its totient is φ = 1277061120.

The previous prime is 4486640201. The next prime is 4486640273. The reversal of 4486640256 is 6520466844.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2507010 + ... + 2508798.

It is an arithmetic number, because the mean of its divisors is an integer number (77140050).

Almost surely, 24486640256 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 4486640256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7405444800).

4486640256 is an abundant number, since it is smaller than the sum of its proper divisors (10324249344).

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

4486640256 is a wasteful number, since it uses less digits than its factorization.

4486640256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127 (or 2112 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The square root of 4486640256 is about 66982.3876552635. The cubic root of 4486640256 is about 1649.3281937253.

The spelling of 4486640256 in words is "four billion, four hundred eighty-six million, six hundred forty thousand, two hundred fifty-six".