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42442290 = 23251143997
BaseRepresentation
bin1010000111100…
…1111000110010
32221212021212200
42201321320302
541331123130
64113404030
71023516312
oct241717062
987767780
1042442290
1121a59580
1212269616
138a403a7
1458cb442
153ad5760
hex2879e32

42442290 has 96 divisors (see below), whose sum is σ = 123304896. Its totient is φ = 10039680.

The previous prime is 42442259. The next prime is 42442307. The reversal of 42442290 is 9224424.

42442290 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 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 47 ways as a sum of consecutive naturals, for example, 42072 + ... + 43068.

It is an arithmetic number, because the mean of its divisors is an integer number (1284426).

Almost surely, 242442290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42442290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61652448).

42442290 is an abundant number, since it is smaller than the sum of its proper divisors (80862606).

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

42442290 is a wasteful number, since it uses less digits than its factorization.

42442290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 42442290 is about 6514.7747466816. The cubic root of 42442290 is about 348.8185744061.

The spelling of 42442290 in words is "forty-two million, four hundred forty-two thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 43 45 55 66 86 90 99 110 129 165 198 215 258 330 387 430 473 495 645 774 946 990 997 1290 1419 1935 1994 2365 2838 2991 3870 4257 4730 4985 5982 7095 8514 8973 9970 10967 14190 14955 17946 21285 21934 29910 32901 42570 42871 44865 54835 65802 85742 89730 98703 109670 128613 164505 197406 214355 257226 329010 385839 428710 471581 493515 643065 771678 943162 987030 1286130 1414743 1929195 2357905 2829486 3858390 4244229 4715810 7073715 8488458 14147430 21221145 42442290