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42957750 = 23531141127
BaseRepresentation
bin1010001111011…
…1101110110110
32222211110221210
42203313232312
541444122000
64132422250
71031064153
oct243675666
988743853
1042957750
1122280880
1212477986
138b90bb4
1459c322a
153b88350
hex28f7bb6

42957750 has 128 divisors (see below), whose sum is σ = 120766464. Its totient is φ = 10080000.

The previous prime is 42957683. The next prime is 42957757. The reversal of 42957750 is 5775924.

It is a junction number, because it is equal to n+sod(n) for n = 42957699 and 42957708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42957757) by changing a digit.

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, 338187 + ... + 338313.

It is an arithmetic number, because the mean of its divisors is an integer number (943488).

Almost surely, 242957750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42957750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60383232).

42957750 is an abundant number, since it is smaller than the sum of its proper divisors (77808714).

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

42957750 is a wasteful number, since it uses less digits than its factorization.

42957750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The square root of 42957750 is about 6554.2162002790. The cubic root of 42957750 is about 350.2250253616.

The spelling of 42957750 in words is "forty-two million, nine hundred fifty-seven thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 41 50 55 66 75 82 110 123 125 127 150 165 205 246 250 254 275 330 375 381 410 451 550 615 635 750 762 825 902 1025 1230 1270 1353 1375 1397 1650 1905 2050 2255 2706 2750 2794 3075 3175 3810 4125 4191 4510 5125 5207 6150 6350 6765 6985 8250 8382 9525 10250 10414 11275 13530 13970 15375 15621 15875 19050 20955 22550 26035 30750 31242 31750 33825 34925 41910 47625 52070 56375 57277 67650 69850 78105 95250 104775 112750 114554 130175 156210 169125 171831 174625 209550 260350 286385 338250 343662 349250 390525 523875 572770 650875 781050 859155 1047750 1301750 1431925 1718310 1952625 2863850 3905250 4295775 7159625 8591550 14319250 21478875 42957750