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473381640 = 233257318013
BaseRepresentation
bin11100001101110…
…011101100001000
31012222202021112100
4130031303230020
51432141203030
6114550113400
714505451254
oct3415635410
91188667470
10473381640
112232366a6
1211264b860
13770c53a4
1446c27264
152b85b360
hex1c373b08

473381640 has 96 divisors (see below), whose sum is σ = 1559652120. Its totient is φ = 124498944.

The previous prime is 473381633. The next prime is 473381681. The reversal of 473381640 is 46183374.

473381640 is a `hidden beast` number, since 4 + 7 + 3 + 3 + 8 + 1 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 459587844 + 13793796 = 21438^2 + 3714^2 .

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 = 473381595 and 473381604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17274 + ... + 35286.

Almost surely, 2473381640 is an apocalyptic number.

473381640 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 473381640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779826060).

473381640 is an abundant number, since it is smaller than the sum of its proper divisors (1086270480).

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

473381640 is a wasteful number, since it uses less digits than its factorization.

473381640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18103 (or 18096 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 473381640 is about 21757.3353147852. The cubic root of 473381640 is about 779.3582492600.

The spelling of 473381640 in words is "four hundred seventy-three million, three hundred eighty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 73 90 120 146 180 219 292 360 365 438 584 657 730 876 1095 1314 1460 1752 2190 2628 2920 3285 4380 5256 6570 8760 13140 18013 26280 36026 54039 72052 90065 108078 144104 162117 180130 216156 270195 324234 360260 432312 540390 648468 720520 810585 1080780 1296936 1314949 1621170 2161560 2629898 3242340 3944847 5259796 6484680 6574745 7889694 10519592 11834541 13149490 15779388 19724235 23669082 26298980 31558776 39448470 47338164 52597960 59172705 78896940 94676328 118345410 157793880 236690820 473381640