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473990832 = 24337413823
BaseRepresentation
bin11100010000001…
…000011010110000
31020000220020012000
4130100020122300
51432320201312
6115011134000
714513566320
oct3420103260
91200806160
10473990832
11223612367
121128a4300
1377279763
1446d45280
152b92badc
hex1c4086b0

473990832 has 160 divisors (see below), whose sum is σ = 1593231360. Its totient is φ = 132088320.

The previous prime is 473990809. The next prime is 473990833. The reversal of 473990832 is 238099374.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (473990833) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122073 + ... + 125895.

It is an arithmetic number, because the mean of its divisors is an integer number (9957696).

Almost surely, 2473990832 is an apocalyptic number.

473990832 is a gapful number since it is divisible by the number (42) 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 473990832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796615680).

473990832 is an abundant number, since it is smaller than the sum of its proper divisors (1119240528).

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

473990832 is a wasteful number, since it uses less digits than its factorization.

473990832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3888 (or 3876 counting only the distinct ones).

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

The square root of 473990832 is about 21771.3305059659. The cubic root of 473990832 is about 779.6924231080.

The spelling of 473990832 in words is "four hundred seventy-three million, nine hundred ninety thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 41 42 48 54 56 63 72 82 84 108 112 123 126 144 164 168 189 216 246 252 287 328 336 369 378 432 492 504 574 656 738 756 861 984 1008 1107 1148 1476 1512 1722 1968 2214 2296 2583 2952 3024 3444 3823 4428 4592 5166 5904 6888 7646 7749 8856 10332 11469 13776 15292 15498 17712 20664 22938 26761 30584 30996 34407 41328 45876 53522 61168 61992 68814 80283 91752 103221 107044 123984 137628 156743 160566 183504 206442 214088 240849 275256 313486 321132 412884 428176 470229 481698 550512 626972 642264 722547 825768 940458 963396 1097201 1253944 1284528 1410687 1445094 1651536 1880916 1926792 2194402 2507888 2821374 2890188 3291603 3761832 3853584 4232061 4388804 5642748 5780376 6583206 7523664 8464122 8777608 9874809 11285496 11560752 13166412 16928244 17555216 19749618 22570992 26332824 29624427 33856488 39499236 52665648 59248854 67712976 78998472 118497708 157996944 236995416 473990832