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829914068 = 22533914689
BaseRepresentation
bin110001011101110…
…111101111010100
32010211122000002002
4301131313233110
53144424222233
6214203534432
726365103354
oct6135675724
92124560062
10829914068
113965127a5
121b1b2a418
13102c27a19
147c314b64
154ccd56e8
hex31777bd4

829914068 has 12 divisors (see below), whose sum is σ = 1479752820. Its totient is φ = 407127552.

The previous prime is 829914067. The next prime is 829914077. The reversal of 829914068 is 860419928.

It can be written as a sum of positive squares in 2 ways, for example, as 288048784 + 541865284 = 16972^2 + 23278^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829914067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1957133 + ... + 1957556.

It is an arithmetic number, because the mean of its divisors is an integer number (123312735).

Almost surely, 2829914068 is an apocalyptic number.

It is an amenable number.

829914068 is a deficient number, since it is larger than the sum of its proper divisors (649838752).

829914068 is a wasteful number, since it uses less digits than its factorization.

829914068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3914746 (or 3914744 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 47.

The square root of 829914068 is about 28808.2291715406. The cubic root of 829914068 is about 939.7472037881.

The spelling of 829914068 in words is "eight hundred twenty-nine million, nine hundred fourteen thousand, sixty-eight".

Divisors: 1 2 4 53 106 212 3914689 7829378 15658756 207478517 414957034 829914068