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50580090 = 232511192689
BaseRepresentation
bin1100000011110…
…0101001111010
310112011201211200
43000330221322
5100422030330
65004035030
71152631551
oct300745172
9115151750
1050580090
1126607630
1214b32a76
13a62c462
146a08d98
154691a60
hex303ca7a

50580090 has 96 divisors (see below), whose sum is σ = 151070400. Its totient is φ = 11612160.

The previous prime is 50580053. The next prime is 50580091. The reversal of 50580090 is 9008505.

50580090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (50580091) 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 47 ways as a sum of consecutive naturals, for example, 17466 + ... + 20154.

It is an arithmetic number, because the mean of its divisors is an integer number (1573650).

Almost surely, 250580090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50580090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75535200).

50580090 is an abundant number, since it is smaller than the sum of its proper divisors (100490310).

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

50580090 is a wasteful number, since it uses less digits than its factorization.

50580090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2732 (or 2729 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 50580090 is about 7111.9680820431. The cubic root of 50580090 is about 369.8223885799.

Adding to 50580090 its reverse (9008505), we get a palindrome (59588595).

The spelling of 50580090 in words is "fifty million, five hundred eighty thousand, ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 19 22 30 33 38 45 55 57 66 90 95 99 110 114 165 171 190 198 209 285 330 342 418 495 570 627 855 990 1045 1254 1710 1881 2090 2689 3135 3762 5378 6270 8067 9405 13445 16134 18810 24201 26890 29579 40335 48402 51091 59158 80670 88737 102182 121005 147895 153273 177474 242010 255455 266211 295790 306546 443685 459819 510910 532422 562001 766365 887370 919638 1124002 1331055 1532730 1686003 2299095 2662110 2810005 3372006 4598190 5058009 5620010 8430015 10116018 16860030 25290045 50580090