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42832440 = 23325723739
BaseRepresentation
bin1010001101100…
…1001000111000
32222121010001200
42203121020320
541431114230
64130014200
71030032630
oct243311070
988533050
1042832440
11221a5712
1212417360
138b48b51
14598d6c0
153b61160
hex28d9238

42832440 has 192 divisors, whose sum is σ = 166233600. Its totient is φ = 9351936.

The previous prime is 42832411. The next prime is 42832451. The reversal of 42832440 is 4423824.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 57591 + ... + 58329.

It is an arithmetic number, because the mean of its divisors is an integer number (865800).

Almost surely, 242832440 is an apocalyptic number.

42832440 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 42832440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83116800).

42832440 is an abundant number, since it is smaller than the sum of its proper divisors (123401160).

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

42832440 is a wasteful number, since it uses less digits than its factorization.

42832440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 42832440 is about 6544.6497232472. The cubic root of 42832440 is about 349.8841521355.

The spelling of 42832440 in words is "forty-two million, eight hundred thirty-two thousand, four hundred forty".