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42248250 = 2335311569
BaseRepresentation
bin1010000100101…
…0100000111010
32221111102201000
42201022200322
541303421000
64105305430
71022050512
oct241124072
987442630
1042248250
1121936810
1212195276
1389a2c85
14587a842
153a98000
hex284a83a

42248250 has 128 divisors (see below), whose sum is σ = 128044800. Its totient is φ = 10224000.

The previous prime is 42248249. The next prime is 42248293. The reversal of 42248250 is 5284224.

It is a happy number.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73966 + ... + 74534.

It is an arithmetic number, because the mean of its divisors is an integer number (1000350).

Almost surely, 242248250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42248250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64022400).

42248250 is an abundant number, since it is smaller than the sum of its proper divisors (85796550).

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

42248250 is a wasteful number, since it uses less digits than its factorization.

42248250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 42248250 is about 6499.8653832214. The cubic root of 42248250 is about 348.2861795764.

The spelling of 42248250 in words is "forty-two million, two hundred forty-eight thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 27 30 33 45 50 54 55 66 75 90 99 110 125 135 150 165 198 225 250 270 275 297 330 375 450 495 550 569 594 675 750 825 990 1125 1138 1350 1375 1485 1650 1707 2250 2475 2750 2845 2970 3375 3414 4125 4950 5121 5690 6259 6750 7425 8250 8535 10242 12375 12518 14225 14850 15363 17070 18777 24750 25605 28450 30726 31295 37125 37554 42675 51210 56331 62590 71125 74250 76815 85350 93885 112662 128025 142250 153630 156475 168993 187770 213375 256050 281655 312950 337986 384075 426750 469425 563310 640125 768150 782375 844965 938850 1280250 1408275 1564750 1689930 1920375 2347125 2816550 3840750 4224825 4694250 7041375 8449650 14082750 21124125 42248250