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768368050 = 252293131693
BaseRepresentation
bin101101110011000…
…101110110110010
31222112211010210221
4231303011312302
53033200234200
6204124443254
725020010042
oct5563056662
91875733727
10768368050
113647a631a
121953a952a
13c3259168
1474093722
15476c991a
hex2dcc5db2

768368050 has 48 divisors (see below), whose sum is σ = 1484045640. Its totient is φ = 295626240.

The previous prime is 768368047. The next prime is 768368071. The reversal of 768368050 is 50863867.

It can be written as a sum of positive squares in 12 ways, for example, as 17114769 + 751253281 = 4137^2 + 27409^2 .

It is a junction number, because it is equal to n+sod(n) for n = 768367988 and 768368006.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 453004 + ... + 454696.

Almost surely, 2768368050 is an apocalyptic number.

768368050 is a deficient number, since it is larger than the sum of its proper divisors (715677590).

768368050 is a wasteful number, since it uses less digits than its factorization.

768368050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047 (or 2042 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The square root of 768368050 is about 27719.4525559218. The cubic root of 768368050 is about 915.9176595957.

The spelling of 768368050 in words is "seven hundred sixty-eight million, three hundred sixty-eight thousand, fifty".

Divisors: 1 2 5 10 25 29 50 58 145 290 313 626 725 1450 1565 1693 3130 3386 7825 8465 9077 15650 16930 18154 42325 45385 49097 84650 90770 98194 226925 245485 453850 490970 529909 1059818 1227425 2454850 2649545 5299090 13247725 15367361 26495450 30734722 76836805 153673610 384184025 768368050