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811794064 = 241724192
BaseRepresentation
bin110000011000101…
…111111010010000
32002120112102002211
4300120233322100
53130304402224
6212315321504
726055064354
oct6030577220
92076472084
10811794064
11387266994
121a7a50294
13cc252223
1479b59464
154b406894
hex3062fe90

811794064 has 45 divisors (see below), whose sum is σ = 1674811177. Its totient is φ = 381108992.

The previous prime is 811794017. The next prime is 811794073. The reversal of 811794064 is 460497118.

The square root of 811794064 is 28492.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 632019600 + 179774464 = 25140^2 + 13408^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1937247 + ... + 1937665.

Almost surely, 2811794064 is an apocalyptic number.

811794064 is the 28492-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 811794064

811794064 is an abundant number, since it is smaller than the sum of its proper divisors (863017113).

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

811794064 is an equidigital number, since it uses as much as digits as its factorization.

811794064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The cubic root of 811794064 is about 932.8574633095.

The spelling of 811794064 in words is "eight hundred eleven million, seven hundred ninety-four thousand, sixty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 419 578 838 1156 1676 2312 3352 4624 6704 7123 14246 28492 56984 113968 121091 175561 242182 351122 484364 702244 968728 1404488 1937456 2808976 2984537 5969074 11938148 23876296 47752592 50737129 101474258 202948516 405897032 811794064