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42444081 = 351929317
BaseRepresentation
bin1010000111101…
…0010100110001
32221212101100000
42201322110301
541331202311
64113420213
71023524451
oct241722461
987771300
1042444081
1121a5a959
121226a669
138a41154
1458cbd61
153ad6056
hex287a531

42444081 has 48 divisors (see below), whose sum is σ = 69451200. Its totient is φ = 25800768.

The previous prime is 42444079. The next prime is 42444097. The reversal of 42444081 is 18044424.

It is a happy number.

It is not a de Polignac number, because 42444081 - 21 = 42444079 is a prime.

It is a super-2 number, since 2×424440812 = 3603000023869122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (42444001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133735 + ... + 134051.

It is an arithmetic number, because the mean of its divisors is an integer number (1446900).

Almost surely, 242444081 is an apocalyptic number.

It is an amenable number.

42444081 is a deficient number, since it is larger than the sum of its proper divisors (27007119).

42444081 is a wasteful number, since it uses less digits than its factorization.

42444081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 42444081 is about 6514.9122020178. The cubic root of 42444081 is about 348.8234808746.

The spelling of 42444081 in words is "forty-two million, four hundred forty-four thousand, eighty-one".

Divisors: 1 3 9 19 27 29 57 81 87 171 243 261 317 513 551 783 951 1539 1653 2349 2853 4617 4959 6023 7047 8559 9193 14877 18069 25677 27579 44631 54207 77031 82737 133893 162621 174667 248211 487863 524001 744633 1463589 1572003 2233899 4716009 14148027 42444081