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811760404 = 2271321710091
BaseRepresentation
bin110000011000100…
…111101100010100
32002120110200221011
4300120213230110
53130302313104
6212314502004
726054564260
oct6030475424
92076420834
10811760404
11387243674
121a7a34904
13cc23cb00
1479b4b0a0
154b3eb904
hex30627b14

811760404 has 72 divisors (see below), whose sum is σ = 1861610688. Its totient is φ = 302215680.

The previous prime is 811760381. The next prime is 811760419. The reversal of 811760404 is 404067118.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75399 + ... + 85489.

It is an arithmetic number, because the mean of its divisors is an integer number (25855704).

Almost surely, 2811760404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 811760404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930805344).

811760404 is an abundant number, since it is smaller than the sum of its proper divisors (1049850284).

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

811760404 is a wasteful number, since it uses less digits than its factorization.

811760404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10145 (or 10130 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 811760404 is about 28491.4093017527. The cubic root of 811760404 is about 932.8445698851.

The spelling of 811760404 in words is "eight hundred eleven million, seven hundred sixty thousand, four hundred four".

Divisors: 1 2 4 7 13 14 17 26 28 34 52 68 91 119 169 182 221 238 338 364 442 476 676 884 1183 1547 2366 2873 3094 4732 5746 6188 10091 11492 20111 20182 40222 40364 70637 80444 131183 141274 171547 262366 282548 343094 524732 686188 918281 1200829 1705379 1836562 2230111 2401658 3410758 3673124 4460222 4803316 6821516 8920444 11937653 15610777 23875306 28991443 31221554 47750612 57982886 62443108 115965772 202940101 405880202 811760404