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475560540 = 2232571329033
BaseRepresentation
bin11100010110000…
…111101001011100
31020010211222102100
4130112013221130
51433220414130
6115104525100
714533124610
oct3426075134
91203758370
10475560540
11224494744
12113320790
13776a9090
1447233340
152bb3bc60
hex1c587a5c

475560540 has 144 divisors (see below), whose sum is σ = 1775487168. Its totient is φ = 100334592.

The previous prime is 475560539. The next prime is 475560563. The reversal of 475560540 is 45065574.

It is a happy number.

475560540 is a `hidden beast` number, since 4 + 7 + 5 + 5 + 605 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 475560495 and 475560504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1864 + ... + 30896.

It is an arithmetic number, because the mean of its divisors is an integer number (12329772).

Almost surely, 2475560540 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 475560540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887743584).

475560540 is an abundant number, since it is smaller than the sum of its proper divisors (1299926628).

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

475560540 is a wasteful number, since it uses less digits than its factorization.

475560540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29068 (or 29063 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 475560540 is about 21807.3505956134. The cubic root of 475560540 is about 780.5521731191.

It can be divided in two parts, 475560 and 540, that added together give a square (476100 = 6902).

The spelling of 475560540 in words is "four hundred seventy-five million, five hundred sixty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 28 30 35 36 39 42 45 52 60 63 65 70 78 84 90 91 105 117 126 130 140 156 180 182 195 210 234 252 260 273 315 364 390 420 455 468 546 585 630 780 819 910 1092 1170 1260 1365 1638 1820 2340 2730 3276 4095 5460 8190 16380 29033 58066 87099 116132 145165 174198 203231 261297 290330 348396 377429 406462 435495 522594 580660 609693 754858 812924 870990 1016155 1045188 1132287 1219386 1306485 1509716 1741980 1829079 1887145 2032310 2264574 2438772 2612970 2642003 3048465 3396861 3658158 3774290 4064620 4529148 5225940 5284006 5661435 6096930 6793722 7316316 7548580 7926009 9145395 10568012 11322870 12193860 13210015 13587444 15852018 16984305 18290790 22645740 23778027 26420030 31704036 33968610 36581580 39630045 47556054 52840060 67937220 79260090 95112108 118890135 158520180 237780270 475560540