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828643068 = 223311697511
BaseRepresentation
bin110001011001000…
…001011011111100
32010202020102121000
4301121001123330
53144113034233
6214120410300
726351231001
oct6131013374
92122212530
10828643068
11395824890
121b1616990
131028a1356
147c0a38a8
154cb33d13
hex316416fc

828643068 has 48 divisors (see below), whose sum is σ = 2343640320. Its totient is φ = 251103600.

The previous prime is 828643043. The next prime is 828643091. The reversal of 828643068 is 860346828.

It is a happy number.

828643068 is a `hidden beast` number, since 82 + 86 + 430 + 68 = 666.

828643068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 347568 + ... + 349943.

It is an arithmetic number, because the mean of its divisors is an integer number (48825840).

Almost surely, 2828643068 is an apocalyptic number.

It is an amenable number.

828643068 is an abundant number, since it is smaller than the sum of its proper divisors (1514997252).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

828643068 is a wasteful number, since it uses less digits than its factorization.

828643068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697535 (or 697527 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 828643068 is about 28786.1610500601. The cubic root of 828643068 is about 939.2672227853.

The spelling of 828643068 in words is "eight hundred twenty-eight million, six hundred forty-three thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 697511 1395022 2092533 2790044 4185066 6277599 7672621 8370132 12555198 15345242 18832797 23017863 25110396 30690484 37665594 46035726 69053589 75331188 92071452 138107178 207160767 276214356 414321534 828643068