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828633065 = 513179229311
BaseRepresentation
bin110001011000111…
…110111111101001
32010202012220212112
4301120332333221
53144112224230
6214120252105
726351156561
oct6130767751
92122186775
10828633065
11395818317
121b1611035
13102899930
147c09dda1
154cb30d95
hex3163efe9

828633065 has 32 divisors (see below), whose sum is σ = 1085011200. Its totient is φ = 603889920.

The previous prime is 828633061. The next prime is 828633097. The reversal of 828633065 is 560336828.

It is not a de Polignac number, because 828633065 - 22 = 828633061 is a prime.

It is a super-2 number, since 2×8286330652 = 1373265512822588450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (828633061) 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 31 ways as a sum of consecutive naturals, for example, 2664260 + ... + 2664570.

It is an arithmetic number, because the mean of its divisors is an integer number (33906600).

Almost surely, 2828633065 is an apocalyptic number.

It is an amenable number.

828633065 is a deficient number, since it is larger than the sum of its proper divisors (256378135).

828633065 is a wasteful number, since it uses less digits than its factorization.

828633065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737.

The product of its (nonzero) digits is 207360, while the sum is 41.

The square root of 828633065 is about 28785.9873028528. The cubic root of 828633065 is about 939.2634433021.

The spelling of 828633065 in words is "eight hundred twenty-eight million, six hundred thirty-three thousand, sixty-five".

Divisors: 1 5 13 65 179 229 311 895 1145 1555 2327 2977 4043 11635 14885 20215 40991 55669 71219 204955 278345 356095 532883 723697 925847 2664415 3618485 4629235 12748201 63741005 165726613 828633065