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800520928 = 251071132069
BaseRepresentation
bin101111101101101…
…111101011100000
32001210022200021021
4233231233223200
53114413132203
6211233535224
725560213154
oct5755575340
92053280237
10800520928
11380967249
121a4114514
13c9b0602c
1478463064
154a42b5bd
hex2fb6fae0

800520928 has 48 divisors (see below), whose sum is σ = 1605607920. Its totient is φ = 392820736.

The previous prime is 800520907. The next prime is 800520947. The reversal of 800520928 is 829025008.

It is a junction number, because it is equal to n+sod(n) for n = 800520893 and 800520902.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 385878 + ... + 387946.

It is an arithmetic number, because the mean of its divisors is an integer number (33450165).

Almost surely, 2800520928 is an apocalyptic number.

It is an amenable number.

800520928 is an abundant number, since it is smaller than the sum of its proper divisors (805086992).

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

800520928 is a wasteful number, since it uses less digits than its factorization.

800520928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2299 (or 2291 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 800520928 is about 28293.4785418831. The cubic root of 800520928 is about 928.5192174690.

The spelling of 800520928 in words is "eight hundred million, five hundred twenty thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 32 107 113 214 226 428 452 856 904 1712 1808 2069 3424 3616 4138 8276 12091 16552 24182 33104 48364 66208 96728 193456 221383 233797 386912 442766 467594 885532 935188 1771064 1870376 3542128 3740752 7084256 7481504 25016279 50032558 100065116 200130232 400260464 800520928