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50118120 = 233251310709
BaseRepresentation
bin1011111100101…
…1110111101000
310111022021010200
42333023313220
5100312234440
64550112200
71145665653
oct277136750
9114267120
1050118120
1126321538
121494b660
13a4ca0c0
14692889a
1545eec30
hex2fcbde8

50118120 has 96 divisors (see below), whose sum is σ = 175429800. Its totient is φ = 12335616.

The previous prime is 50118083. The next prime is 50118151. The reversal of 50118120 is 2181105.

It can be written as a sum of positive squares in 4 ways, for example, as 43797924 + 6320196 = 6618^2 + 2514^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 50118093 and 50118102.

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 23 ways as a sum of consecutive naturals, for example, 675 + ... + 10034.

Almost surely, 250118120 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 50118120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87714900).

50118120 is an abundant number, since it is smaller than the sum of its proper divisors (125311680).

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

50118120 is a wasteful number, since it uses less digits than its factorization.

50118120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10739 (or 10732 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 50118120 is about 7079.4152300879. The cubic root of 50118120 is about 368.6930269156.

Adding to 50118120 its reverse (2181105), we get a palindrome (52299225).

It can be divided in two parts, 5011 and 8120, that added together give a palindrome (13131).

The spelling of 50118120 in words is "fifty million, one hundred eighteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 10709 21418 32127 42836 53545 64254 85672 96381 107090 128508 139217 160635 192762 214180 257016 278434 321270 385524 417651 428360 481905 556868 642540 696085 771048 835302 963810 1113736 1252953 1285080 1392170 1670604 1927620 2088255 2505906 2784340 3341208 3855240 4176510 5011812 5568680 6264765 8353020 10023624 12529530 16706040 25059060 50118120