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828138990 = 23576436133
BaseRepresentation
bin110001010111000…
…110010111101110
32010201021211010110
4301113012113232
53144000421430
6214101520450
726344031250
oct6127062756
92121254113
10828138990
11395510098
121b1413126
13102755a93
147bdb1cd0
154ca847b0
hex315c65ee

828138990 has 64 divisors (see below), whose sum is σ = 2275370496. Its totient is φ = 188963712.

The previous prime is 828138979. The next prime is 828139007. The reversal of 828138990 is 99831828.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131964 + ... + 138096.

It is an arithmetic number, because the mean of its divisors is an integer number (35552664).

Almost surely, 2828138990 is an apocalyptic number.

828138990 is an abundant number, since it is smaller than the sum of its proper divisors (1447231506).

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

828138990 is a wasteful number, since it uses less digits than its factorization.

828138990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6793.

The product of its (nonzero) digits is 248832, while the sum is 48.

The square root of 828138990 is about 28777.4041567338. The cubic root of 828138990 is about 939.0767266198.

The spelling of 828138990 in words is "eight hundred twenty-eight million, one hundred thirty-eight thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 643 1286 1929 3215 3858 4501 6133 6430 9002 9645 12266 13503 18399 19290 22505 27006 30665 36798 42931 45010 61330 67515 85862 91995 128793 135030 183990 214655 257586 429310 643965 1287930 3943519 7887038 11830557 19717595 23661114 27604633 39435190 55209266 59152785 82813899 118305570 138023165 165627798 276046330 414069495 828138990