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42467968 = 27331781
BaseRepresentation
bin1010001000000…
…0001010000000
32221220121002201
42202000022000
541332433333
64114122544
71023654214
oct242001200
987817081
1042467968
1121a768a4
1212280454
138a4bc9a
1458d6944
153add17d
hex2880280

42467968 has 16 divisors (see below), whose sum is σ = 84604410. Its totient is φ = 21233920.

The previous prime is 42467963. The next prime is 42468001. The reversal of 42467968 is 86976424.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 23736384 + 18731584 = 4872^2 + 4328^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is not an unprimeable number, because it can be changed into a prime (42467963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165763 + ... + 166018.

Almost surely, 242467968 is an apocalyptic number.

It is an amenable number.

42467968 is a deficient number, since it is larger than the sum of its proper divisors (42136442).

42467968 is an equidigital number, since it uses as much as digits as its factorization.

42467968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331795 (or 331783 counting only the distinct ones).

The product of its digits is 580608, while the sum is 46.

The square root of 42467968 is about 6516.7451998678. The cubic root of 42467968 is about 348.8889064390. Note that the first 3 decimals are identical.

The spelling of 42467968 in words is "forty-two million, four hundred sixty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 331781 663562 1327124 2654248 5308496 10616992 21233984 42467968