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480375336 = 23372859377
BaseRepresentation
bin11100101000011…
…111001000101000
31020110220121002010
4130220133020220
51440434002321
6115400035520
714622060120
oct3450371050
91213817063
10480375336
11227183111
12114a62ba0
13786a377c
1447b27c80
152c28d676
hex1ca1f228

480375336 has 32 divisors (see below), whose sum is σ = 1372501440. Its totient is φ = 137250048.

The previous prime is 480375289. The next prime is 480375353. The reversal of 480375336 is 633573084.

It is a super-2 number, since 2×4803753362 = 461520926874225792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 480375294 and 480375303.

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 7 ways as a sum of consecutive naturals, for example, 1429521 + ... + 1429856.

It is an arithmetic number, because the mean of its divisors is an integer number (42890670).

Almost surely, 2480375336 is an apocalyptic number.

It is an amenable number.

480375336 is an abundant number, since it is smaller than the sum of its proper divisors (892126104).

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

480375336 is a wasteful number, since it uses less digits than its factorization.

480375336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2859393 (or 2859389 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The square root of 480375336 is about 21917.4664594245. The cubic root of 480375336 is about 783.1775571130.

The spelling of 480375336 in words is "four hundred eighty million, three hundred seventy-five thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 2859377 5718754 8578131 11437508 17156262 20015639 22875016 34312524 40031278 60046917 68625048 80062556 120093834 160125112 240187668 480375336