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828909396 = 223377913879
BaseRepresentation
bin110001011010000…
…010011101010100
32010202201221221000
4301122002131110
53144200100041
6214130223300
726353420320
oct6132023524
92122657830
10828909396
11395996997
121b1724b30
13102965643
147c132980
154cb87bb6
hex31682754

828909396 has 96 divisors (see below), whose sum is σ = 2487296000. Its totient is φ = 233816544.

The previous prime is 828909391. The next prime is 828909439. The reversal of 828909396 is 693909828.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828909391) 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 31 ways as a sum of consecutive naturals, for example, 52785 + ... + 66663.

Almost surely, 2828909396 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828909396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243648000).

828909396 is an abundant number, since it is smaller than the sum of its proper divisors (1658386604).

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

828909396 is a wasteful number, since it uses less digits than its factorization.

828909396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13978 (or 13970 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 828909396 is about 28790.7866512883. The cubic root of 828909396 is about 939.3678396353.

The spelling of 828909396 in words is "eight hundred twenty-eight million, nine hundred nine thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 79 84 108 126 158 189 237 252 316 378 474 553 711 756 948 1106 1422 1659 2133 2212 2844 3318 4266 4977 6636 8532 9954 13879 14931 19908 27758 29862 41637 55516 59724 83274 97153 124911 166548 194306 249822 291459 374733 388612 499644 582918 749466 874377 1096441 1165836 1498932 1748754 2192882 2623131 3289323 3497508 4385764 5246262 6578646 7675087 9867969 10492524 13157292 15350174 19735938 23025261 29603907 30700348 39471876 46050522 59207814 69075783 92101044 118415628 138151566 207227349 276303132 414454698 828909396