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255420032 = 277893203
BaseRepresentation
bin11110011100101…
…10011010000000
3122210121200102012
433032112122000
51010341420112
641202312052
76221014550
oct1716263200
9583550365
10255420032
111211a593a
1271658628
1340bbc71a
1425ccb160
1517655022
hexf396680

255420032 has 64 divisors (see below), whose sum is σ = 588254400. Its totient is φ = 108201984.

The previous prime is 255420031. The next prime is 255420047. The reversal of 255420032 is 230024552.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (255420031) 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 7 ways as a sum of consecutive naturals, for example, 78143 + ... + 81345.

It is an arithmetic number, because the mean of its divisors is an integer number (9191475).

Almost surely, 2255420032 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 255420032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294127200).

255420032 is an abundant number, since it is smaller than the sum of its proper divisors (332834368).

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

255420032 is an equidigital number, since it uses as much as digits as its factorization.

255420032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3313 (or 3301 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 255420032 is about 15981.8657233754. The cubic root of 255420032 is about 634.4805572833.

Adding to 255420032 its reverse (230024552), we get a palindrome (485444584).

The spelling of 255420032 in words is "two hundred fifty-five million, four hundred twenty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 89 112 128 178 224 356 448 623 712 896 1246 1424 2492 2848 3203 4984 5696 6406 9968 11392 12812 19936 22421 25624 39872 44842 51248 79744 89684 102496 179368 204992 285067 358736 409984 570134 717472 1140268 1434944 1995469 2280536 2869888 3990938 4561072 7981876 9122144 15963752 18244288 31927504 36488576 63855008 127710016 255420032