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42831840 = 25351729181
BaseRepresentation
bin1010001101100…
…0111111100000
32222121002020110
42203120333200
541431104330
64130011320
71030031112
oct243307740
988532213
1042831840
11221a5217
1212416b40
138b487ac
14598d3b2
153b60db0
hex28d8fe0

42831840 has 192 divisors, whose sum is σ = 148599360. Its totient is φ = 10321920.

The previous prime is 42831799. The next prime is 42831847. The reversal of 42831840 is 4813824.

42831840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 42831798 and 42831807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42831847) 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 31 ways as a sum of consecutive naturals, for example, 236550 + ... + 236730.

It is an arithmetic number, because the mean of its divisors is an integer number (773955).

Almost surely, 242831840 is an apocalyptic number.

42831840 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 42831840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74299680).

42831840 is an abundant number, since it is smaller than the sum of its proper divisors (105767520).

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

42831840 is a wasteful number, since it uses less digits than its factorization.

42831840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 42831840 is about 6544.6038841171. The cubic root of 42831840 is about 349.8825183935.

The spelling of 42831840 in words is "forty-two million, eight hundred thirty-one thousand, eight hundred forty".