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478305270 = 233561113257
BaseRepresentation
bin11100100000100…
…101101111110110
31020100000102111000
4130200211233312
51434421232040
6115243424130
714565346002
oct3440455766
91210012430
10478305270
11225a99913
12114225046
137812a491
1447749702
152bed0130
hex1c825bf6

478305270 has 128 divisors (see below), whose sum is σ = 1312951680. Its totient is φ = 123863040.

The previous prime is 478305197. The next prime is 478305277. The reversal of 478305270 is 72503874.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478305277) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1860982 + ... + 1861238.

It is an arithmetic number, because the mean of its divisors is an integer number (10257435).

Almost surely, 2478305270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 478305270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656475840).

478305270 is an abundant number, since it is smaller than the sum of its proper divisors (834646410).

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

478305270 is a wasteful number, since it uses less digits than its factorization.

478305270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 478305270 is about 21870.1913571875. The cubic root of 478305270 is about 782.0509633346.

The spelling of 478305270 in words is "four hundred seventy-eight million, three hundred five thousand, two hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 61 90 113 122 135 183 226 257 270 305 339 366 514 549 565 610 678 771 915 1017 1098 1130 1285 1542 1647 1695 1830 2034 2313 2570 2745 3051 3294 3390 3855 4626 5085 5490 6102 6893 6939 7710 8235 10170 11565 13786 13878 15255 15677 16470 20679 23130 29041 30510 31354 34465 34695 41358 47031 58082 62037 68930 69390 78385 87123 94062 103395 124074 141093 145205 156770 174246 186111 206790 235155 261369 282186 290410 310185 372222 423279 435615 470310 522738 620370 705465 784107 846558 871230 930555 1306845 1410930 1568214 1771501 1861110 2116395 2613690 3543002 3920535 4232790 5314503 7841070 8857505 10629006 15943509 17715010 26572515 31887018 47830527 53145030 79717545 95661054 159435090 239152635 478305270