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9004050 = 232521117107
BaseRepresentation
bin100010010110…
…010000010010
3121221110020100
4202112100102
54301112200
6520553230
7136350606
oct42262022
917843210
109004050
11509a970
123022816
131b33453
1412a5506
15bccd00
hex896412

9004050 has 144 divisors (see below), whose sum is σ = 28203552. Its totient is φ = 2035200.

The previous prime is 9004031. The next prime is 9004057. The reversal of 9004050 is 504009.

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

9004050 is a modest number, since divided by 4050 gives 900 as remainder.

It is not an unprimeable number, because it can be changed into a prime (9004057) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 84097 + ... + 84203.

It is an arithmetic number, because the mean of its divisors is an integer number (195858).

Almost surely, 29004050 is an apocalyptic number.

9004050 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9004050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14101776).

9004050 is an abundant number, since it is smaller than the sum of its proper divisors (19199502).

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

9004050 is a wasteful number, since it uses less digits than its factorization.

9004050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 9004050 is about 3000.6749240796. The cubic root of 9004050 is about 208.0395788835.

Adding to 9004050 its reverse (504009), we get a palindrome (9508059).

It can be divided in two parts, 900 and 4050, that added together give a triangular number (4950 = T99).

The spelling of 9004050 in words is "nine million, four thousand, fifty".

Divisors: 1 2 3 5 6 9 10 11 15 17 18 22 25 30 33 34 45 50 51 55 66 75 85 90 99 102 107 110 150 153 165 170 187 198 214 225 255 275 306 321 330 374 425 450 495 510 535 550 561 642 765 825 850 935 963 990 1070 1122 1177 1275 1530 1605 1650 1683 1819 1870 1926 2354 2475 2550 2675 2805 3210 3366 3531 3638 3825 4675 4815 4950 5350 5457 5610 5885 7062 7650 8025 8415 9095 9350 9630 10593 10914 11770 14025 16050 16371 16830 17655 18190 20009 21186 24075 27285 28050 29425 32742 35310 40018 42075 45475 48150 52965 54570 58850 60027 81855 84150 88275 90950 100045 105930 120054 136425 163710 176550 180081 200090 264825 272850 300135 360162 409275 500225 529650 600270 818550 900405 1000450 1500675 1800810 3001350 4502025 9004050