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481481480 = 23517708061
BaseRepresentation
bin11100101100101…
…101001100001000
31020112222210102102
4130230231030020
51441224401410
6115435452532
714634345044
oct3454551410
91215883372
10481481480
11227869187
121152b7148
13789a00ac
1447d35024
152c40b2a5
hex1cb2d308

481481480 has 32 divisors (see below), whose sum is σ = 1147060440. Its totient is φ = 181263360.

The previous prime is 481481453. The next prime is 481481509. The reversal of 481481480 is 84184184.

It can be written as a sum of positive squares in 4 ways, for example, as 297010756 + 184470724 = 17234^2 + 13582^2 .

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, 353351 + ... + 354710.

Almost surely, 2481481480 is an apocalyptic number.

481481480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

481481480 is an abundant number, since it is smaller than the sum of its proper divisors (665578960).

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

481481480 is a wasteful number, since it uses less digits than its factorization.

481481480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708089 (or 708085 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 38.

The square root of 481481480 is about 21942.6862530548. The cubic root of 481481480 is about 783.7782284364.

The spelling of 481481480 in words is "four hundred eighty-one million, four hundred eighty-one thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 708061 1416122 2832244 3540305 5664488 7080610 12037037 14161220 24074074 28322440 48148148 60185185 96296296 120370370 240740740 481481480