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473054680 = 235753127251
BaseRepresentation
bin11100001100100…
…011110111011000
31012222010200000201
4130030203313120
51432100222210
6114535111544
714502620110
oct3414436730
91188120021
10473054680
11223032a8a
121125125b4
137700c617
1446b80040
152b7e453a
hex1c323dd8

473054680 has 128 divisors (see below), whose sum is σ = 1254113280. Its totient is φ = 157248000.

The previous prime is 473054633. The next prime is 473054683. The reversal of 473054680 is 86450374.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (473054683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1884555 + ... + 1884805.

It is an arithmetic number, because the mean of its divisors is an integer number (9797760).

Almost surely, 2473054680 is an apocalyptic number.

473054680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 473054680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627056640).

473054680 is an abundant number, since it is smaller than the sum of its proper divisors (781058600).

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

473054680 is a wasteful number, since it uses less digits than its factorization.

473054680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 473054680 is about 21749.8202291421. The cubic root of 473054680 is about 779.1787762646.

The spelling of 473054680 in words is "four hundred seventy-three million, fifty-four thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 53 56 70 106 127 140 212 251 254 265 280 371 424 502 508 530 635 742 889 1004 1016 1060 1255 1270 1484 1757 1778 1855 2008 2120 2510 2540 2968 3514 3556 3710 4445 5020 5080 6731 7028 7112 7420 8785 8890 10040 13303 13462 14056 14840 17570 17780 26606 26924 31877 33655 35140 35560 47117 53212 53848 63754 66515 67310 70280 93121 94234 106424 127508 133030 134620 159385 186242 188468 223139 235585 255016 266060 269240 318770 372484 376936 446278 465605 471170 532120 637540 744968 892556 931210 942340 1115695 1275080 1689481 1785112 1862420 1884680 2231390 3378962 3724840 4462780 6757924 8447405 8925560 11826367 13515848 16894810 23652734 33789620 47305468 59131835 67579240 94610936 118263670 236527340 473054680