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930809857 = 17193283697
BaseRepresentation
bin110111011110110…
…000100000000001
32101212111001002011
4313132300200001
53401241403412
6232210252521
732031516235
oct6736604001
92355431064
10930809857
1143846624a
1221b887141
1311aac3183
148b89a5c5
1556ab57a7
hex377b0801

930809857 has 8 divisors (see below), whose sum is σ = 990673416. Its totient is φ = 871514112.

The previous prime is 930809849. The next prime is 930809881. The reversal of 930809857 is 758908039.

It can be written as a sum of positive squares in 4 ways, for example, as 99121936 + 831687921 = 9956^2 + 28839^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 930809857 - 23 = 930809849 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 930809857.

It is not an unprimeable number, because it can be changed into a prime (930804857) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 138568 + ... + 145129.

It is an arithmetic number, because the mean of its divisors is an integer number (123834177).

Almost surely, 2930809857 is an apocalyptic number.

It is an amenable number.

930809857 is a deficient number, since it is larger than the sum of its proper divisors (59863559).

930809857 is a wasteful number, since it uses less digits than its factorization.

930809857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283907.

The product of its (nonzero) digits is 544320, while the sum is 49.

The square root of 930809857 is about 30509.1766031140. The cubic root of 930809857 is about 976.3832593083.

The spelling of 930809857 in words is "nine hundred thirty million, eight hundred nine thousand, eight hundred fifty-seven".

Divisors: 1 17 193 3281 283697 4822849 54753521 930809857