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42486750 = 2325323821
BaseRepresentation
bin1010001000010…
…0101111011110
32221221112212100
42202010233132
541334034000
64114345530
71024063035
oct242045736
987845770
1042486750
1121a89a19
121228b2a6
138a576b7
1458dd71c
153ae3a00
hex2884bde

42486750 has 96 divisors (see below), whose sum is σ = 120025152. Its totient is φ = 10824000.

The previous prime is 42486737. The next prime is 42486751. The reversal of 42486750 is 5768424.

42486750 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42486751) 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 47 ways as a sum of consecutive naturals, for example, 51340 + ... + 52160.

It is an arithmetic number, because the mean of its divisors is an integer number (1250262).

Almost surely, 242486750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42486750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60012576).

42486750 is an abundant number, since it is smaller than the sum of its proper divisors (77538402).

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

42486750 is a wasteful number, since it uses less digits than its factorization.

42486750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 42486750 is about 6518.1860973740. The cubic root of 42486750 is about 348.9403323800.

The spelling of 42486750 in words is "forty-two million, four hundred eighty-six thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 23 25 30 45 46 50 69 75 90 115 125 138 150 207 225 230 250 345 375 414 450 575 690 750 821 1035 1125 1150 1642 1725 2070 2250 2463 2875 3450 4105 4926 5175 5750 7389 8210 8625 10350 12315 14778 17250 18883 20525 24630 25875 36945 37766 41050 51750 56649 61575 73890 94415 102625 113298 123150 169947 184725 188830 205250 283245 307875 339894 369450 472075 566490 615750 849735 923625 944150 1416225 1699470 1847250 2360375 2832450 4248675 4720750 7081125 8497350 14162250 21243375 42486750