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42689850 = 23527109373
BaseRepresentation
bin1010001011011…
…0010100111010
32222022212110120
42202312110322
541412033400
64122554110
71025600130
oct242662472
988285416
1042689850
1122108575
1212368936
138ac8c88
145953750
153b33ca0
hex28b653a

42689850 has 96 divisors (see below), whose sum is σ = 122432640. Its totient is φ = 9642240.

The previous prime is 42689791. The next prime is 42689851. The reversal of 42689850 is 5898624.

42689850 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×426898503 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (42689851) 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, 114264 + ... + 114636.

It is an arithmetic number, because the mean of its divisors is an integer number (1275340).

Almost surely, 242689850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42689850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61216320).

42689850 is an abundant number, since it is smaller than the sum of its proper divisors (79742790).

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

42689850 is a wasteful number, since it uses less digits than its factorization.

42689850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 42689850 is about 6533.7470107129. The cubic root of 42689850 is about 349.4954635198.

The spelling of 42689850 in words is "forty-two million, six hundred eighty-nine thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 109 150 175 210 218 327 350 373 525 545 654 746 763 1050 1090 1119 1526 1635 1865 2238 2289 2611 2725 3270 3730 3815 4578 5222 5450 5595 7630 7833 8175 9325 11190 11445 13055 15666 16350 18650 19075 22890 26110 27975 38150 39165 40657 55950 57225 65275 78330 81314 114450 121971 130550 195825 203285 243942 284599 391650 406570 569198 609855 853797 1016425 1219710 1422995 1707594 2032850 2845990 3049275 4268985 6098550 7114975 8537970 14229950 21344925 42689850