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42166344 = 23311159721
BaseRepresentation
bin1010000011011…
…0100001001000
32221100021100110
42200312201020
541243310334
64103434320
71021256643
oct240664110
987307313
1042166344
1121890220
12121559a0
1389748cc
145858a5a
153a7dae9
hex2836848

42166344 has 32 divisors (see below), whose sum is σ = 114999840. Its totient is φ = 12777600.

The previous prime is 42166321. The next prime is 42166351. The reversal of 42166344 is 44366124.

It is a super-3 number, since 3×421663443 (a number of 24 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79597 + ... + 80124.

It is an arithmetic number, because the mean of its divisors is an integer number (3593745).

Almost surely, 242166344 is an apocalyptic number.

42166344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42166344 is an abundant number, since it is smaller than the sum of its proper divisors (72833496).

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

42166344 is a wasteful number, since it uses less digits than its factorization.

42166344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159741 (or 159737 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 42166344 is about 6493.5617345183. The cubic root of 42166344 is about 348.0609617076.

The spelling of 42166344 in words is "forty-two million, one hundred sixty-six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 159721 319442 479163 638884 958326 1277768 1756931 1916652 3513862 3833304 5270793 7027724 10541586 14055448 21083172 42166344