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42809850 = 23352191669
BaseRepresentation
bin1010001101001…
…1100111111010
32222112222002000
42203103213322
541424403400
64125321430
71026610026
oct243234772
988488060
1042809850
112218a746
1212406276
138b3b795
145985386
153b59600
hex28d39fa

42809850 has 96 divisors (see below), whose sum is σ = 124248000. Its totient is φ = 10808640.

The previous prime is 42809821. The next prime is 42809857. The reversal of 42809850 is 5890824.

It is not an unprimeable number, because it can be changed into a prime (42809857) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24816 + ... + 26484.

It is an arithmetic number, because the mean of its divisors is an integer number (1294250).

Almost surely, 242809850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42809850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62124000).

42809850 is an abundant number, since it is smaller than the sum of its proper divisors (81438150).

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

42809850 is a wasteful number, since it uses less digits than its factorization.

42809850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 42809850 is about 6542.9236584267. The cubic root of 42809850 is about 349.8226312188.

The spelling of 42809850 in words is "forty-two million, eight hundred nine thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 27 30 38 45 50 54 57 75 90 95 114 135 150 171 190 225 270 285 342 450 475 513 570 675 855 950 1026 1350 1425 1669 1710 2565 2850 3338 4275 5007 5130 8345 8550 10014 12825 15021 16690 25035 25650 30042 31711 41725 45063 50070 63422 75105 83450 90126 95133 125175 150210 158555 190266 225315 250350 285399 317110 375525 450630 475665 570798 751050 792775 856197 951330 1126575 1426995 1585550 1712394 2253150 2378325 2853990 4280985 4756650 7134975 8561970 14269950 21404925 42809850