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268484096 = 291274129
BaseRepresentation
bin10000000000001…
…011111000000000
3200201012101221102
4100000023320000
51022212442341
642350313532
76440035316
oct2000137000
9621171842
10268484096
11128609091
1275ab88a8
1343814b3a
142792c0b6
1518885c9b
hex1000be00

268484096 has 40 divisors (see below), whose sum is σ = 540798720. Its totient is φ = 133152768.

The previous prime is 268484093. The next prime is 268484141. The reversal of 268484096 is 690484862.

268484096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 268484096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268484093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 62960 + ... + 67088.

It is an arithmetic number, because the mean of its divisors is an integer number (13519968).

Almost surely, 2268484096 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 268484096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270399360).

268484096 is an abundant number, since it is smaller than the sum of its proper divisors (272314624).

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

268484096 is an equidigital number, since it uses as much as digits as its factorization.

268484096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4274 (or 4258 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 47.

The square root of 268484096 is about 16385.4843077646. The cubic root of 268484096 is about 645.1185375954.

The spelling of 268484096 in words is "two hundred sixty-eight million, four hundred eighty-four thousand, ninety-six".

Divisors: 1 2 4 8 16 32 64 127 128 254 256 508 512 1016 2032 4064 4129 8128 8258 16256 16516 32512 33032 65024 66064 132128 264256 524383 528512 1048766 1057024 2097532 2114048 4195064 8390128 16780256 33560512 67121024 134242048 268484096