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473220560 = 24519330649
BaseRepresentation
bin11100001101001…
…100010111010000
31012222110002120102
4130031030113100
51432121024220
6114542431532
714504210531
oct3415142720
91188402512
10473220560
1122313667a
121125925a8
1377069c87
1446bc4688
152b828775
hex1c34c5d0

473220560 has 40 divisors (see below), whose sum is σ = 1105974600. Its totient is φ = 188301312.

The previous prime is 473220541. The next prime is 473220571. The reversal of 473220560 is 65022374.

It can be written as a sum of positive squares in 4 ways, for example, as 8904256 + 464316304 = 2984^2 + 21548^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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, 116 + ... + 30764.

It is an arithmetic number, because the mean of its divisors is an integer number (27649365).

Almost surely, 2473220560 is an apocalyptic number.

473220560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

473220560 is an abundant number, since it is smaller than the sum of its proper divisors (632754040).

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

473220560 is a wasteful number, since it uses less digits than its factorization.

473220560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30855 (or 30849 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 29.

The square root of 473220560 is about 21753.6332597569. The cubic root of 473220560 is about 779.2698404878.

The spelling of 473220560 in words is "four hundred seventy-three million, two hundred twenty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 193 386 772 965 1544 1930 3088 3860 7720 15440 30649 61298 122596 153245 245192 306490 490384 612980 1225960 2451920 5915257 11830514 23661028 29576285 47322056 59152570 94644112 118305140 236610280 473220560