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471324100 = 22521321672
BaseRepresentation
bin11100000101111…
…101010111000100
31012211212202010011
4130011331113010
51431124332400
6114434040004
714452121512
oct3405752704
91184782104
10471324100
11222060855
12111a19004
1376854a00
144684d4b2
152b5a18ba
hex1c17d5c4

471324100 has 81 divisors (see below), whose sum is σ = 1114171527. Its totient is φ = 172985280.

The previous prime is 471324079. The next prime is 471324143. The reversal of 471324100 is 1423174.

The square root of 471324100 is 21710.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 121484484 + 349839616 = 11022^2 + 18704^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2822217 + ... + 2822383.

Almost surely, 2471324100 is an apocalyptic number.

471324100 is the 21710-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 471324100

471324100 is an abundant number, since it is smaller than the sum of its proper divisors (642847427).

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

471324100 is a wasteful number, since it uses less digits than its factorization.

471324100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The cubic root of 471324100 is about 778.2274564422.

Adding to 471324100 its reverse (1423174), we get a palindrome (472747274).

The spelling of 471324100 in words is "four hundred seventy-one million, three hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 167 169 260 325 334 338 650 668 676 835 845 1300 1670 1690 2171 3340 3380 4175 4225 4342 8350 8450 8684 10855 16700 16900 21710 27889 28223 43420 54275 55778 56446 108550 111556 112892 139445 141115 217100 278890 282230 362557 557780 564460 697225 705575 725114 1394450 1411150 1450228 1812785 2788900 2822300 3625570 4713241 7251140 9063925 9426482 18127850 18852964 23566205 36255700 47132410 94264820 117831025 235662050 471324100