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768240256 = 277857411
BaseRepresentation
bin101101110010100…
…110101010000000
31222112120122111211
4231302212222000
53033132142011
6204122015504
725015635340
oct5562465200
91875518454
10768240256
11364719303
12195347594
13c3212c44
147405cd20
15476a1b21
hex2dca6a80

768240256 has 32 divisors (see below), whose sum is σ = 1749120480. Its totient is φ = 329245440.

The previous prime is 768240203. The next prime is 768240259. The reversal of 768240256 is 652042867.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (768240259) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 427810 + ... + 429601.

It is an arithmetic number, because the mean of its divisors is an integer number (54660015).

Almost surely, 2768240256 is an apocalyptic number.

It is an amenable number.

768240256 is an abundant number, since it is smaller than the sum of its proper divisors (980880224).

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

768240256 is an equidigital number, since it uses as much as digits as its factorization.

768240256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857432 (or 857420 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The square root of 768240256 is about 27717.1473279629. The cubic root of 768240256 is about 915.8668786924.

The spelling of 768240256 in words is "seven hundred sixty-eight million, two hundred forty thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 857411 1714822 3429644 6001877 6859288 12003754 13718576 24007508 27437152 48015016 54874304 96030032 109748608 192060064 384120128 768240256