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803129104 = 24371578641
BaseRepresentation
bin101111110111101…
…100011100010000
32001222020012000101
4233313230130100
53121100112404
6211405502144
725621325161
oct5767543420
92058205011
10803129104
11382388868
121a4b71954
13ca50a22b
1478941768
154a7942a4
hex2fdec710

803129104 has 40 divisors (see below), whose sum is σ = 1608483608. Its totient is φ = 388177920.

The previous prime is 803129101. The next prime is 803129123. The reversal of 803129104 is 401921308.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 33177600 + 769951504 = 5760^2 + 27748^2 .

It is not an unprimeable number, because it can be changed into a prime (803129101) 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 7 ways as a sum of consecutive naturals, for example, 88624 + ... + 97264.

Almost surely, 2803129104 is an apocalyptic number.

It is an amenable number.

803129104 is an abundant number, since it is smaller than the sum of its proper divisors (805354504).

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

803129104 is a wasteful number, since it uses less digits than its factorization.

803129104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8843 (or 8837 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 803129104 is about 28339.5325296660. The cubic root of 803129104 is about 929.5265266321.

The spelling of 803129104 in words is "eight hundred three million, one hundred twenty-nine thousand, one hundred four".

Divisors: 1 2 4 8 16 37 74 148 157 296 314 592 628 1256 2512 5809 8641 11618 17282 23236 34564 46472 69128 92944 138256 319717 639434 1278868 1356637 2557736 2713274 5115472 5426548 10853096 21706192 50195569 100391138 200782276 401564552 803129104