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50831200 = 2552729313
BaseRepresentation
bin1100000111100…
…1111101100000
310112122111022001
43001321331200
5101003044300
65013253344
71155025630
oct301717540
9115574261
1050831200
1126769262
1215034254
13a6b9844
146a726c0
1546e116a
hex3079f60

50831200 has 144 divisors (see below), whose sum is σ = 147178080. Its totient is φ = 16773120.

The previous prime is 50831197. The next prime is 50831233. The reversal of 50831200 is 213805.

It is a happy number.

50831200 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162244 + ... + 162556.

It is an arithmetic number, because the mean of its divisors is an integer number (1022070).

Almost surely, 250831200 is an apocalyptic number.

50831200 is a gapful number since it is divisible by the number (50) 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 50831200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73589040).

50831200 is an abundant number, since it is smaller than the sum of its proper divisors (96346880).

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

50831200 is a wasteful number, since it uses less digits than its factorization.

50831200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 50831200 is about 7129.6002692998. The cubic root of 50831200 is about 370.4333855248.

The spelling of 50831200 in words is "fifty million, eight hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 29 32 35 40 50 56 58 70 80 100 112 116 140 145 160 175 200 203 224 232 280 290 313 350 400 406 464 560 580 626 700 725 800 812 928 1015 1120 1160 1252 1400 1450 1565 1624 2030 2191 2320 2504 2800 2900 3130 3248 4060 4382 4640 5008 5075 5600 5800 6260 6496 7825 8120 8764 9077 10016 10150 10955 11600 12520 15650 16240 17528 18154 20300 21910 23200 25040 31300 32480 35056 36308 40600 43820 45385 50080 54775 62600 63539 70112 72616 81200 87640 90770 109550 125200 127078 145232 162400 175280 181540 219100 226925 250400 254156 290464 317695 350560 363080 438200 453850 508312 635390 726160 876400 907700 1016624 1270780 1452320 1588475 1752800 1815400 2033248 2541560 3176950 3630800 5083120 6353900 7261600 10166240 12707800 25415600 50831200