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42831000 = 2332534759
BaseRepresentation
bin1010001101100…
…0110010011000
32222121001002100
42203120302120
541431043000
64130003400
71030025502
oct243306230
988531070
1042831000
11221a4623
1212416560
138b482b4
14598cd72
153b60a00
hex28d8c98

42831000 has 96 divisors (see below), whose sum is σ = 144799200. Its totient is φ = 11419200.

The previous prime is 42830989. The next prime is 42831001. The reversal of 42831000 is 13824.

It is a happy number.

It is a super-2 number, since 2×428310002 = 3668989122000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42831001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6621 + ... + 11379.

It is an arithmetic number, because the mean of its divisors is an integer number (1508325).

Almost surely, 242831000 is an apocalyptic number.

42831000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42831000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72399600).

42831000 is an abundant number, since it is smaller than the sum of its proper divisors (101968200).

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

42831000 is a wasteful number, since it uses less digits than its factorization.

42831000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4786 (or 4769 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 42831000 is about 6544.5397087954. The cubic root of 42831000 is about 349.8802311290.

Adding to 42831000 its reverse (13824), we get a palindrome (42844824).

The spelling of 42831000 in words is "forty-two million, eight hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 4759 9000 9518 14277 19036 23795 28554 38072 42831 47590 57108 71385 85662 95180 114216 118975 142770 171324 190360 214155 237950 285540 342648 356925 428310 475900 571080 594875 713850 856620 951800 1070775 1189750 1427700 1713240 1784625 2141550 2379500 2855400 3569250 4283100 4759000 5353875 7138500 8566200 10707750 14277000 21415500 42831000