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470545380 = 2232517367419
BaseRepresentation
bin11100000010111…
…111001111100100
31012210102011220200
4130002333033210
51430424423010
6114405230500
714442366264
oct3402771744
91183364820
10470545380
11221679788
12111702430
1376641426
14466c97a4
152b49acc0
hex1c0bf3e4

470545380 has 144 divisors (see below), whose sum is σ = 1519015680. Its totient is φ = 117494784.

The previous prime is 470545367. The next prime is 470545381. The reversal of 470545380 is 83545074.

470545380 is a `hidden beast` number, since 4 + 70 + 54 + 538 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (470545381) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1122811 + ... + 1123229.

It is an arithmetic number, because the mean of its divisors is an integer number (10548720).

Almost surely, 2470545380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470545380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759507840).

470545380 is an abundant number, since it is smaller than the sum of its proper divisors (1048470300).

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

470545380 is a wasteful number, since it uses less digits than its factorization.

470545380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 470545380 is about 21692.0579936529. The cubic root of 470545380 is about 777.7986253067.

The spelling of 470545380 in words is "four hundred seventy million, five hundred forty-five thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 367 419 510 612 734 765 838 1020 1101 1257 1468 1530 1676 1835 2095 2202 2514 3060 3303 3670 3771 4190 4404 5028 5505 6239 6285 6606 7123 7340 7542 8380 11010 12478 12570 13212 14246 15084 16515 18717 18855 21369 22020 24956 25140 28492 31195 33030 35615 37434 37710 42738 56151 62390 64107 66060 71230 74868 75420 85476 93585 106845 112302 124780 128214 142460 153773 187170 213690 224604 256428 280755 307546 320535 374340 427380 461319 561510 615092 641070 768865 922638 1123020 1282140 1383957 1537730 1845276 2306595 2614141 2767914 3075460 4613190 5228282 5535828 6919785 7842423 9226380 10456564 13070705 13839570 15684846 23527269 26141410 27679140 31369692 39212115 47054538 52282820 78424230 94109076 117636345 156848460 235272690 470545380