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820421450 = 25253734241
BaseRepresentation
bin110000111001101…
…010001101001010
32010011202201122122
4300321222031022
53140011441300
6213224251242
726221316162
oct6071521512
92104681578
10820421450
11391119862
121aa910b22
13100c830a4
147ad635a2
154c05cc85
hex30e6a34a

820421450 has 48 divisors (see below), whose sum is σ = 1576445976. Its totient is φ = 317491200.

The previous prime is 820421447. The next prime is 820421509. The reversal of 820421450 is 54124028.

It is a happy number.

It is a Cunningham number, because it is equal to 286432+1.

It can be written as a sum of positive squares in 12 ways, for example, as 365153881 + 455267569 = 19109^2 + 21337^2 .

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, 191330 + ... + 195570.

Almost surely, 2820421450 is an apocalyptic number.

820421450 is a deficient number, since it is larger than the sum of its proper divisors (756024526).

820421450 is a wasteful number, since it uses less digits than its factorization.

820421450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4379 (or 4374 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

The square root of 820421450 is about 28643.0000174563. Note that the first 4 decimals coincide. The cubic root of 820421450 is about 936.1504897497.

Adding to 820421450 its reverse (54124028), we get a palindrome (874545478).

The spelling of 820421450 in words is "eight hundred twenty million, four hundred twenty-one thousand, four hundred fifty".

Divisors: 1 2 5 10 25 50 53 73 106 146 265 365 530 730 1325 1825 2650 3650 3869 4241 7738 8482 19345 21205 38690 42410 96725 106025 193450 212050 224773 309593 449546 619186 1123865 1547965 2247730 3095930 5619325 7739825 11238650 15479650 16408429 32816858 82042145 164084290 410210725 820421450