Search a number
-
+
28249650 = 232521113439
BaseRepresentation
bin110101111000…
…0111000110010
31222011020020100
41223300320302
524212442100
62445253230
7462055332
oct153607062
958136210
1028249650
1114a45420
129564216
135b11390
143a750c2
152730400
hex1af0e32

28249650 has 144 divisors (see below), whose sum is σ = 89369280. Its totient is φ = 6307200.

The previous prime is 28249643. The next prime is 28249657. The reversal of 28249650 is 5694282.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (28249643) and next prime (28249657).

It is not an unprimeable number, because it can be changed into a prime (28249657) 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 71 ways as a sum of consecutive naturals, for example, 64131 + ... + 64569.

It is an arithmetic number, because the mean of its divisors is an integer number (620620).

Almost surely, 228249650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28249650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44684640).

28249650 is an abundant number, since it is smaller than the sum of its proper divisors (61119630).

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

28249650 is a wasteful number, since it uses less digits than its factorization.

28249650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 28249650 is about 5315.0399810349. The cubic root of 28249650 is about 304.5587096710.

The spelling of 28249650 in words is "twenty-eight million, two hundred forty-nine thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 25 26 30 33 39 45 50 55 65 66 75 78 90 99 110 117 130 143 150 165 195 198 225 234 275 286 325 330 390 429 439 450 495 550 585 650 715 825 858 878 975 990 1170 1287 1317 1430 1650 1950 2145 2195 2475 2574 2634 2925 3575 3951 4290 4390 4829 4950 5707 5850 6435 6585 7150 7902 9658 10725 10975 11414 12870 13170 14487 17121 19755 21450 21950 24145 28535 28974 32175 32925 34242 39510 43461 48290 51363 57070 62777 64350 65850 72435 85605 86922 98775 102726 120725 125554 142675 144870 171210 188331 197550 217305 241450 256815 285350 313885 362175 376662 428025 434610 513630 564993 627770 724350 856050 941655 1086525 1129986 1284075 1569425 1883310 2173050 2568150 2824965 3138850 4708275 5649930 9416550 14124825 28249650