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45350250 = 23531123239
BaseRepresentation
bin1010110011111…
…1110101101010
310011100000211220
42230333311222
543102202000
64300002510
71060320321
oct254776552
9104300756
1045350250
1123665350
1213230436
13951ab8a
1460470b8
153eac1a0
hex2b3fd6a

45350250 has 128 divisors (see below), whose sum is σ = 129392640. Its totient is φ = 10472000.

The previous prime is 45350243. The next prime is 45350281. The reversal of 45350250 is 5205354.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 45350250.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 189631 + ... + 189869.

It is an arithmetic number, because the mean of its divisors is an integer number (1010880).

Almost surely, 245350250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45350250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64696320).

45350250 is an abundant number, since it is smaller than the sum of its proper divisors (84042390).

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

45350250 is a wasteful number, since it uses less digits than its factorization.

45350250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 45350250 is about 6734.2594247623. The cubic root of 45350250 is about 356.6097627602.

Subtracting from 45350250 its reverse (5205354), we obtain a square (40144896 = 63362).

The spelling of 45350250 in words is "forty-five million, three hundred fifty thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 23 25 30 33 46 50 55 66 69 75 110 115 125 138 150 165 230 239 250 253 275 330 345 375 478 506 550 575 690 717 750 759 825 1150 1195 1265 1375 1434 1518 1650 1725 2390 2530 2629 2750 2875 3450 3585 3795 4125 5258 5497 5750 5975 6325 7170 7590 7887 8250 8625 10994 11950 12650 13145 15774 16491 17250 17925 18975 26290 27485 29875 31625 32982 35850 37950 39435 54970 59750 60467 63250 65725 78870 82455 89625 94875 120934 131450 137425 164910 179250 181401 189750 197175 274850 302335 328625 362802 394350 412275 604670 657250 687125 824550 907005 985875 1374250 1511675 1814010 1971750 2061375 3023350 4122750 4535025 7558375 9070050 15116750 22675125 45350250