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831200000 = 28551039
BaseRepresentation
bin110001100010110…
…001101100000000
32010221001100001012
4301202301230000
53200241400000
6214251300052
726412040421
oct6142615400
92127040035
10831200000
11397210954
121b244a628
13103288127
147c56b648
154ce8b735
hex318b1b00

831200000 has 108 divisors (see below), whose sum is σ = 2075804640. Its totient is φ = 332160000.

The previous prime is 831199991. The next prime is 831200017. The reversal of 831200000 is 2138.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 799481 + ... + 800519.

Almost surely, 2831200000 is an apocalyptic number.

831200000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 831200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037902320).

831200000 is an abundant number, since it is smaller than the sum of its proper divisors (1244604640).

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

831200000 is an frugal number, since it uses more digits than its factorization.

831200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 831200000 is about 28830.5393636678. The cubic root of 831200000 is about 940.2323252520.

Adding to 831200000 its reverse (2138), we get a palindrome (831202138).

The spelling of 831200000 in words is "eight hundred thirty-one million, two hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1039 1250 1280 1600 2000 2078 2500 3125 3200 4000 4156 5000 5195 6250 6400 8000 8312 10000 10390 12500 16000 16624 20000 20780 25000 25975 32000 33248 40000 41560 50000 51950 66496 80000 83120 100000 103900 129875 132992 160000 166240 200000 207800 259750 265984 332480 400000 415600 519500 649375 664960 800000 831200 1039000 1298750 1329920 1662400 2078000 2597500 3246875 3324800 4156000 5195000 6493750 6649600 8312000 10390000 12987500 16624000 20780000 25975000 33248000 41560000 51950000 83120000 103900000 166240000 207800000 415600000 831200000