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2628450 = 234521159
BaseRepresentation
bin1010000001101101100010
311221112120000
422001231202
51133102300
6132200430
731225056
oct12015542
94845500
102628450
111535880
12a69116
137104c6
144c5c66
1536dc00
hex281b62

2628450 has 120 divisors (see below), whose sum is σ = 8102160. Its totient is φ = 626400.

The previous prime is 2628407. The next prime is 2628481. The reversal of 2628450 is 548262.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 44521 + ... + 44579.

It is an arithmetic number, because the mean of its divisors is an integer number (67518).

22628450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2628450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4051080).

2628450 is an abundant number, since it is smaller than the sum of its proper divisors (5473710).

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

2628450 is a wasteful number, since it uses less digits than its factorization.

2628450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2628450 is about 1621.2495181187. The cubic root of 2628450 is about 138.0066159399.

The spelling of 2628450 in words is "two million, six hundred twenty-eight thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 27 30 33 45 50 54 55 59 66 75 81 90 99 110 118 135 150 162 165 177 198 225 270 275 295 297 330 354 405 450 495 531 550 590 594 649 675 810 825 885 891 990 1062 1298 1350 1475 1485 1593 1650 1770 1782 1947 2025 2475 2655 2950 2970 3186 3245 3894 4050 4425 4455 4779 4950 5310 5841 6490 7425 7965 8850 8910 9558 9735 11682 13275 14850 15930 16225 17523 19470 22275 23895 26550 29205 32450 35046 39825 44550 47790 48675 52569 58410 79650 87615 97350 105138 119475 146025 175230 238950 262845 292050 438075 525690 876150 1314225 2628450