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42889968 = 24321127077
BaseRepresentation
bin1010001110011…
…1001011110000
32222201000222100
42203213023300
541434434333
64131140400
71030362432
oct243471360
988630870
1042889968
1122234960
1212444700
138b690a4
1459a6652
153b73213
hex28e72f0

42889968 has 60 divisors (see below), whose sum is σ = 130949208. Its totient is φ = 12996480.

The previous prime is 42889883. The next prime is 42889999. The reversal of 42889968 is 86998824.

42889968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 11955 + ... + 15122.

Almost surely, 242889968 is an apocalyptic number.

42889968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42889968 is an abundant number, since it is smaller than the sum of its proper divisors (88059240).

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

42889968 is a wasteful number, since it uses less digits than its factorization.

42889968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27102 (or 27093 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 42889968 is about 6549.0432889087. The cubic root of 42889968 is about 350.0407245130.

The spelling of 42889968 in words is "forty-two million, eight hundred eighty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 27077 54154 81231 108308 162462 216616 243693 297847 324924 433232 487386 595694 649848 893541 974772 1191388 1299696 1787082 1949544 2382776 2680623 3574164 3899088 4765552 5361246 7148328 10722492 14296656 21444984 42889968