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813420450 = 232522277963
BaseRepresentation
bin110000011110111…
…100111110100010
32002200121001002100
4300132330332202
53131213423300
6212414231230
726104650123
oct6036747642
92080531070
10813420450
11388177907
121a84b5516
13cc6a159b
147a06004a
154b628700
hex307bcfa2

813420450 has 72 divisors (see below), whose sum is σ = 2195292528. Its totient is φ = 215929440.

The previous prime is 813420409. The next prime is 813420451. The reversal of 813420450 is 54024318.

It is not an unprimeable number, because it can be changed into a prime (813420451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 98169 + ... + 106131.

It is an arithmetic number, because the mean of its divisors is an integer number (30490174).

Almost surely, 2813420450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813420450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097646264).

813420450 is an abundant number, since it is smaller than the sum of its proper divisors (1381872078).

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

813420450 is a wasteful number, since it uses less digits than its factorization.

813420450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8208 (or 8200 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 813420450 is about 28520.5268184162. The cubic root of 813420450 is about 933.4800244208.

Adding to 813420450 its reverse (54024318), we get a palindrome (867444768).

The spelling of 813420450 in words is "eight hundred thirteen million, four hundred twenty thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 227 450 454 681 1135 1362 2043 2270 3405 4086 5675 6810 7963 10215 11350 15926 17025 20430 23889 34050 39815 47778 51075 71667 79630 102150 119445 143334 199075 238890 358335 398150 597225 716670 1194450 1791675 1807601 3583350 3615202 5422803 9038005 10845606 16268409 18076010 27114015 32536818 45190025 54228030 81342045 90380050 135570075 162684090 271140150 406710225 813420450