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806057000 = 23537115151
BaseRepresentation
bin110000000010110…
…111010000101000
32002011201221022222
4300002313100220
53122322311000
6211552333212
725655241260
oct6002672050
92064657288
10806057000
11383aa8611
121a5b44208
13cacc3b08
14790a47a0
154ab71a85
hex300b7428

806057000 has 64 divisors (see below), whose sum is σ = 2155645440. Its totient is φ = 276360000.

The previous prime is 806056991. The next prime is 806057033. The reversal of 806057000 is 750608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50576 + ... + 64575.

It is an arithmetic number, because the mean of its divisors is an integer number (33681960).

Almost surely, 2806057000 is an apocalyptic number.

It is an amenable number.

806057000 is an abundant number, since it is smaller than the sum of its proper divisors (1349588440).

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

806057000 is a wasteful number, since it uses less digits than its factorization.

806057000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115179 (or 115165 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 806057000 is about 28391.1429850931. The cubic root of 806057000 is about 930.6547206846.

The spelling of 806057000 in words is "eight hundred six million, fifty-seven thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 7000 115151 230302 460604 575755 806057 921208 1151510 1612114 2303020 2878775 3224228 4030285 4606040 5757550 6448456 8060570 11515100 14393875 16121140 20151425 23030200 28787750 32242280 40302850 57575500 80605700 100757125 115151000 161211400 201514250 403028500 806057000