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42835968 = 21332783
BaseRepresentation
bin1010001101101…
…0000000000000
32222121021220100
42203122000000
541431222333
64130042400
71030046130
oct243320000
988537810
1042835968
11221a832a
1212419400
138b4a636
145990ac0
153b62213
hex28da000

42835968 has 168 divisors, whose sum is σ = 143121888. Its totient is φ = 12091392.

The previous prime is 42835963. The next prime is 42835979. The reversal of 42835968 is 86953824.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (42835963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 516055 + ... + 516137.

It is an arithmetic number, because the mean of its divisors is an integer number (851916).

Almost surely, 242835968 is an apocalyptic number.

42835968 is a gapful number since it is divisible by the number (48) 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 42835968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71560944).

42835968 is an abundant number, since it is smaller than the sum of its proper divisors (100285920).

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

42835968 is an equidigital number, since it uses as much as digits as its factorization.

42835968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 95 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 42835968 is about 6544.9192508388. The cubic root of 42835968 is about 349.8937582300.

The spelling of 42835968 in words is "forty-two million, eight hundred thirty-five thousand, nine hundred sixty-eight".