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850830561 = 34724632
BaseRepresentation
bin110010101101101…
…010010011100001
32012021222200010000
4302231222103201
53220303034221
6220232130213
730040640400
oct6255522341
92167880100
10850830561
113a72a9659
121b8b36969
1310736c349
1480ddb637
154ea67e26
hex32b6a4e1

850830561 has 45 divisors (see below), whose sum is σ = 1481703201. Its totient is φ = 485138808.

The previous prime is 850830529. The next prime is 850830581. The reversal of 850830561 is 165038058.

The square root of 850830561 is 29169.

It is a perfect power (a square), and thus also a powerful number.

850830561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 850830561 - 25 = 850830529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (850830581) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1837416 + ... + 1837878.

Almost surely, 2850830561 is an apocalyptic number.

850830561 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

850830561 is the 29169-th square number.

850830561 is the 14585-th centered octagonal number.

It is an amenable number.

850830561 is a deficient number, since it is larger than the sum of its proper divisors (630872640).

850830561 is an frugal number, since it uses more digits than its factorization.

850830561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The cubic root of 850830561 is about 947.5766716707.

Multiplying 850830561 by its sum of digits (36), we get a square (30629900196 = 1750142).

The spelling of 850830561 in words is "eight hundred fifty million, eight hundred thirty thousand, five hundred sixty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 463 567 1323 1389 3241 3969 4167 9723 12501 22687 29169 37503 68061 87507 204183 214369 262521 612549 643107 1500583 1837647 1929321 4501749 5787963 10504081 13505247 17363889 31512243 40515741 94536729 121547223 283610187 850830561