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828404269 = 71183912823
BaseRepresentation
bin110001011000000…
…111001000101101
32010201210022000121
4301120013020231
53144032414034
6214111324541
726346214540
oct6130071055
92121708017
10828404269
11395681430
121b1520751
13102819754
147c040857
154cad81b4
hex3160722d

828404269 has 16 divisors (see below), whose sum is σ = 1034127360. Its totient is φ = 644690160.

The previous prime is 828404209. The next prime is 828404273. The reversal of 828404269 is 962404828.

It is a cyclic number.

It is not a de Polignac number, because 828404269 - 29 = 828403757 is a prime.

It is a super-2 number, since 2×8284042692 = 1372507265794848722, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828404209) 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 15 ways as a sum of consecutive naturals, for example, 58192 + ... + 71014.

It is an arithmetic number, because the mean of its divisors is an integer number (64632960).

Almost surely, 2828404269 is an apocalyptic number.

It is an amenable number.

828404269 is a deficient number, since it is larger than the sum of its proper divisors (205723091).

828404269 is a wasteful number, since it uses less digits than its factorization.

828404269 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13680.

The product of its (nonzero) digits is 221184, while the sum is 43.

The square root of 828404269 is about 28782.0129421137. The cubic root of 828404269 is about 939.1769878653.

The spelling of 828404269 in words is "eight hundred twenty-eight million, four hundred four thousand, two hundred sixty-nine".

Divisors: 1 7 11 77 839 5873 9229 12823 64603 89761 141053 987371 10758497 75309479 118343467 828404269