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473989320 = 23345720899
BaseRepresentation
bin11100010000001…
…000000011001000
31020000220011010000
4130100020003020
51432320124240
6115011123000
714513562030
oct3420100310
91200804100
10473989320
11223611212
121128a3460
1377278b6c
1446d448c0
152b92b430
hex1c4080c8

473989320 has 160 divisors (see below), whose sum is σ = 1820808000. Its totient is φ = 108335232.

The previous prime is 473989283. The next prime is 473989339. The reversal of 473989320 is 23989374.

It is a happy number.

473989320 is a `hidden beast` number, since 473 + 98 + 93 + 2 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 39 ways as a sum of consecutive naturals, for example, 12231 + ... + 33129.

It is an arithmetic number, because the mean of its divisors is an integer number (11380050).

Almost surely, 2473989320 is an apocalyptic number.

473989320 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 473989320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910404000).

473989320 is an abundant number, since it is smaller than the sum of its proper divisors (1346818680).

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

473989320 is a wasteful number, since it uses less digits than its factorization.

473989320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20929 (or 20916 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 473989320 is about 21771.2957813723. The cubic root of 473989320 is about 779.6915940511.

The spelling of 473989320 in words is "four hundred seventy-three million, nine hundred eighty-nine thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 105 108 120 126 135 140 162 168 180 189 210 216 252 270 280 315 324 360 378 405 420 504 540 567 630 648 756 810 840 945 1080 1134 1260 1512 1620 1890 2268 2520 2835 3240 3780 4536 5670 7560 11340 20899 22680 41798 62697 83596 104495 125394 146293 167192 188091 208990 250788 292586 313485 376182 417980 438879 501576 564273 585172 626970 731465 752364 835960 877758 940455 1128546 1170344 1253940 1316637 1462930 1504728 1692819 1755516 1880910 2194395 2257092 2507880 2633274 2821365 2925860 3385638 3511032 3761820 3949911 4388790 4514184 5266548 5642730 5851720 6583185 6771276 7523640 7899822 8464095 8777580 10533096 11285460 11849733 13166370 13542552 15799644 16928190 17555160 19749555 22570920 23699466 26332740 31599288 33856380 39499110 47398932 52665480 59248665 67712760 78998220 94797864 118497330 157996440 236994660 473989320