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828320269 = 7734573547
BaseRepresentation
bin110001010111110…
…010101000001101
32010201122000210111
4301113302220031
53144022222034
6214105440021
726345414620
oct6127625015
92121560714
10828320269
11395624307
121b14a0011
131027ba44a
147c01bdb7
154cabd364
hex315f2a0d

828320269 has 16 divisors (see below), whose sum is σ = 961990528. Its totient is φ = 698533632.

The previous prime is 828320267. The next prime is 828320287. The reversal of 828320269 is 962023828.

828320269 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 828320269 - 21 = 828320267 is a prime.

It is a super-2 number, since 2×8283202692 = 1372228936072464722, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828320267) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231754 + ... + 235300.

It is an arithmetic number, because the mean of its divisors is an integer number (60124408).

Almost surely, 2828320269 is an apocalyptic number.

It is an amenable number.

828320269 is a deficient number, since it is larger than the sum of its proper divisors (133670259).

828320269 is a wasteful number, since it uses less digits than its factorization.

828320269 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4084.

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 828320269 is about 28780.5536604145. The cubic root of 828320269 is about 939.1452426830.

The spelling of 828320269 in words is "eight hundred twenty-eight million, three hundred twenty thousand, two hundred sixty-nine".

Divisors: 1 7 73 457 511 3199 3547 24829 33361 233527 258931 1620979 1812517 11346853 118331467 828320269