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475943940 = 2232529731249
BaseRepresentation
bin11100010111100…
…101010000000100
31020011120110100100
4130113211100010
51433320201230
6115121044100
714536312443
oct3427452004
91204513310
10475943940
112247267aa
12113486630
13777b1744
14472d2d5a
152bbb5660
hex1c5e5404

475943940 has 144 divisors (see below), whose sum is σ = 1515150000. Its totient is φ = 120766464.

The previous prime is 475943929. The next prime is 475943971. The reversal of 475943940 is 49349574.

It is a happy number.

475943940 is a `hidden beast` number, since 475 + 94 + 3 + 94 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2359296 + 473584644 = 1536^2 + 21762^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 380436 + ... + 381684.

It is an arithmetic number, because the mean of its divisors is an integer number (10521875).

Almost surely, 2475943940 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 475943940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757575000).

475943940 is an abundant number, since it is smaller than the sum of its proper divisors (1039206060).

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

475943940 is a wasteful number, since it uses less digits than its factorization.

475943940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 475943940 is about 21816.1394384983. The cubic root of 475943940 is about 780.7618788532.

The spelling of 475943940 in words is "four hundred seventy-five million, nine hundred forty-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 73 87 90 116 145 146 174 180 219 261 290 292 348 365 435 438 522 580 657 730 870 876 1044 1095 1249 1305 1314 1460 1740 2117 2190 2498 2610 2628 3285 3747 4234 4380 4996 5220 6245 6351 6570 7494 8468 10585 11241 12490 12702 13140 14988 18735 19053 21170 22482 24980 25404 31755 36221 37470 38106 42340 44964 56205 63510 72442 74940 76212 91177 95265 108663 112410 127020 144884 181105 182354 190530 217326 224820 273531 325989 362210 364708 381060 434652 455885 543315 547062 651978 724420 820593 911770 1086630 1094124 1303956 1367655 1629945 1641186 1823540 2173260 2644133 2735310 3259890 3282372 4102965 5288266 5470620 6519780 7932399 8205930 10576532 13220665 15864798 16411860 23797197 26441330 31729596 39661995 47594394 52882660 79323990 95188788 118985985 158647980 237971970 475943940