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830573471 = 73131710957
BaseRepresentation
bin110001100000011…
…000101110011111
32010212212111121102
4301200120232133
53200111322341
6214230023315
726403521000
oct6140305637
92125774542
10830573471
11396923162
121b21a7b3b
131030c8bc0
147c4471a7
154cdb5c9b
hex31818b9f

830573471 has 32 divisors (see below), whose sum is σ = 1104566400. Its totient is φ = 618444288.

The previous prime is 830573431. The next prime is 830573477. The reversal of 830573471 is 174375038.

830573471 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-830573471 is a prime.

It is a super-3 number, since 3×8305734713 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830573477) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70325 + ... + 81281.

It is an arithmetic number, because the mean of its divisors is an integer number (34517700).

Almost surely, 2830573471 is an apocalyptic number.

830573471 is a deficient number, since it is larger than the sum of its proper divisors (273992929).

830573471 is a wasteful number, since it uses less digits than its factorization.

830573471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11008 (or 10994 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The square root of 830573471 is about 28819.6715977126. The cubic root of 830573471 is about 939.9960279748.

The spelling of 830573471 in words is "eight hundred thirty million, five hundred seventy-three thousand, four hundred seventy-one".

Divisors: 1 7 13 17 49 91 119 221 343 637 833 1547 4459 5831 10829 10957 75803 76699 142441 186269 536893 997087 1303883 2421497 3758251 6979609 9127181 16950479 48857263 63890267 118653353 830573471