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807810084 = 223415792
BaseRepresentation
bin110000001001100…
…011010000100100
32002022001000010000
4300021203100210
53123244410314
6212054101300
726006162304
oct6011432044
92068030100
10807810084
11384a95744
121a664a830
13cb488a43
14793dd604
154adbb209
hex30263424

807810084 has 45 divisors (see below), whose sum is σ = 2113113387. Its totient is φ = 269099496.

The previous prime is 807810077. The next prime is 807810127. The reversal of 807810084 is 480018708.

The square root of 807810084 is 28422.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 510807 + ... + 512385.

Almost surely, 2807810084 is an apocalyptic number.

807810084 is the 28422-nd square number.

It is an amenable number.

807810084 is an abundant number, since it is smaller than the sum of its proper divisors (1305303303).

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

807810084 is an equidigital number, since it uses as much as digits as its factorization.

807810084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3174 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The cubic root of 807810084 is about 931.3289221943.

Multiplying 807810084 by its sum of digits (36), we get a square (29081163024 = 1705322).

807810084 divided by its sum of digits (36) gives a square (22439169 = 47372).

The spelling of 807810084 in words is "eight hundred seven million, eight hundred ten thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 1579 3158 4737 6316 9474 14211 18948 28422 42633 56844 85266 127899 170532 255798 511596 2493241 4986482 7479723 9972964 14959446 22439169 29918892 44878338 67317507 89756676 134635014 201952521 269270028 403905042 807810084