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2838150 = 2325271753
BaseRepresentation
bin1010110100111010000110
312100012012200
422310322012
51211310100
6140455330
733060330
oct12647206
95305180
102838150
111669387
12b4a546
13784aa3
1453c450
153b0e00
hex2b4e86

2838150 has 144 divisors (see below), whose sum is σ = 9401184. Its totient is φ = 599040.

The previous prime is 2838149. The next prime is 2838151. The reversal of 2838150 is 518382.

It is a happy number.

2838150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2838149) and next prime (2838151).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2838151) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 53524 + ... + 53576.

It is an arithmetic number, because the mean of its divisors is an integer number (65286).

22838150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2838150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4700592).

2838150 is an abundant number, since it is smaller than the sum of its proper divisors (6563034).

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

2838150 is a wasteful number, since it uses less digits than its factorization.

2838150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2838150 is about 1684.6809787019. The cubic root of 2838150 is about 141.5832188291.

The spelling of 2838150 in words is "two million, eight hundred thirty-eight thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 25 30 34 35 42 45 50 51 53 63 70 75 85 90 102 105 106 119 126 150 153 159 170 175 210 225 238 255 265 306 315 318 350 357 371 425 450 477 510 525 530 595 630 714 742 765 795 850 901 954 1050 1071 1113 1190 1275 1325 1530 1575 1590 1785 1802 1855 2142 2226 2385 2550 2650 2703 2975 3150 3339 3570 3710 3825 3975 4505 4770 5355 5406 5565 5950 6307 6678 7650 7950 8109 8925 9010 9275 10710 11130 11925 12614 13515 16218 16695 17850 18550 18921 22525 23850 26775 27030 27825 31535 33390 37842 40545 45050 53550 55650 56763 63070 67575 81090 83475 94605 113526 135150 157675 166950 189210 202725 283815 315350 405450 473025 567630 946050 1419075 2838150