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42442626 = 2337414663
BaseRepresentation
bin1010000111100…
…1111110000010
32221212022100010
42201321332002
541331131001
64113405350
71023520302
oct241717602
987768303
1042442626
1121a59856
1212269856
138a405a5
1458cb602
153ad58d6
hex2879f82

42442626 has 32 divisors (see below), whose sum is σ = 89324928. Its totient is φ = 13426560.

The previous prime is 42442607. The next prime is 42442633. The reversal of 42442626 is 62624424.

42442626 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 42442593 and 42442602.

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 15 ways as a sum of consecutive naturals, for example, 6771 + ... + 11433.

It is an arithmetic number, because the mean of its divisors is an integer number (2791404).

Almost surely, 242442626 is an apocalyptic number.

42442626 is an abundant number, since it is smaller than the sum of its proper divisors (46882302).

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

42442626 is a wasteful number, since it uses less digits than its factorization.

42442626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4746.

The product of its digits is 18432, while the sum is 30.

The square root of 42442626 is about 6514.8005341683. The cubic root of 42442626 is about 348.8194948931.

The spelling of 42442626 in words is "forty-two million, four hundred forty-two thousand, six hundred twenty-six".

Divisors: 1 2 3 6 37 41 74 82 111 123 222 246 1517 3034 4551 4663 9102 9326 13989 27978 172531 191183 345062 382366 517593 573549 1035186 1147098 7073771 14147542 21221313 42442626