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480848064 = 2632504417
BaseRepresentation
bin11100101010010…
…010100011000000
31020111210121112120
4130222102203000
51441044114224
6115414124240
714626066254
oct3452224300
91214717476
10480848064
112274762a4
12115050680
137880a9a8
1447c0c264
152c333779
hex1ca928c0

480848064 has 28 divisors (see below), whose sum is σ = 1272244344. Its totient is φ = 160282624.

The previous prime is 480848063. The next prime is 480848089. The reversal of 480848064 is 460848084.

It is a super-3 number, since 3×4808480643 (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (480848063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1252017 + ... + 1252400.

It is an arithmetic number, because the mean of its divisors is an integer number (45437298).

Almost surely, 2480848064 is an apocalyptic number.

It is an amenable number.

480848064 is an abundant number, since it is smaller than the sum of its proper divisors (791396280).

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

480848064 is a wasteful number, since it uses less digits than its factorization.

480848064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2504432 (or 2504422 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The square root of 480848064 is about 21928.2480832373. The cubic root of 480848064 is about 783.4343761414.

The spelling of 480848064 in words is "four hundred eighty million, eight hundred forty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 2504417 5008834 7513251 10017668 15026502 20035336 30053004 40070672 60106008 80141344 120212016 160282688 240424032 480848064