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473287680 = 21032510271
BaseRepresentation
bin11100001101011…
…100110000000000
31012222120111122100
4130031130300000
51432130201210
6114544110400
714504610315
oct3415346000
91188514570
10473287680
11223182048
12112605400
13770916a8
1446c00d0c
152b83d5c0
hex1c35cc00

473287680 has 132 divisors (see below), whose sum is σ = 1640089152. Its totient is φ = 126197760.

The previous prime is 473287651. The next prime is 473287681. The reversal of 473287680 is 86782374.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (473287681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40945 + ... + 51215.

Almost surely, 2473287680 is an apocalyptic number.

473287680 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 473287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820044576).

473287680 is an abundant number, since it is smaller than the sum of its proper divisors (1166801472).

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

473287680 is a wasteful number, since it uses less digits than its factorization.

473287680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10302 (or 10281 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 473287680 is about 21755.1759358549. The cubic root of 473287680 is about 779.3066817435.

The spelling of 473287680 in words is "four hundred seventy-three million, two hundred eighty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2304 2560 2880 3072 3840 4608 5120 5760 7680 9216 10271 11520 15360 20542 23040 30813 41084 46080 51355 61626 82168 92439 102710 123252 154065 164336 184878 205420 246504 308130 328672 369756 410840 462195 493008 616260 657344 739512 821680 924390 986016 1232520 1314688 1479024 1643360 1848780 1972032 2465040 2629376 2958048 3286720 3697560 3944064 4930080 5258752 5916096 6573440 7395120 7888128 9860160 10517504 11832192 13146880 14790240 15776256 19720320 23664384 26293760 29580480 31552512 39440640 47328768 52587520 59160960 78881280 94657536 118321920 157762560 236643840 473287680