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42263034 = 23112971311
BaseRepresentation
bin1010000100111…
…0000111111010
32221112011222120
42201032013322
541304404114
64105502110
71022141562
oct241160772
987464876
1042263034
1121946930
12121a1936
1389a9918
145881da2
153a9c5a9
hex284e1fa

42263034 has 64 divisors (see below), whose sum is σ = 97044480. Its totient is φ = 12152000.

The previous prime is 42263027. The next prime is 42263047. The reversal of 42263034 is 43036224.

It is a happy number.

42263034 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42262995 and 42263013.

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 31 ways as a sum of consecutive naturals, for example, 135739 + ... + 136049.

It is an arithmetic number, because the mean of its divisors is an integer number (1516320).

Almost surely, 242263034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42263034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48522240).

42263034 is an abundant number, since it is smaller than the sum of its proper divisors (54781446).

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

42263034 is a wasteful number, since it uses less digits than its factorization.

42263034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427.

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 42263034 is about 6501.0025380706. The cubic root of 42263034 is about 348.3268002916.

Adding to 42263034 its reverse (43036224), we get a palindrome (85299258).

It can be divided in two parts, 4226 and 3034, that added together give a triangular number (7260 = T120).

The spelling of 42263034 in words is "forty-two million, two hundred sixty-three thousand, thirty-four".

Divisors: 1 2 3 6 11 22 29 33 58 66 71 87 142 174 213 311 319 426 622 638 781 933 957 1562 1866 1914 2059 2343 3421 4118 4686 6177 6842 9019 10263 12354 18038 20526 22081 22649 27057 44162 45298 54114 66243 67947 99209 132486 135894 198418 242891 297627 485782 595254 640349 728673 1280698 1457346 1921047 3842094 7043839 14087678 21131517 42263034