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42440244 = 223711231997
BaseRepresentation
bin1010000111100…
…1011000110100
32221212012001220
42201321120310
541331041434
64113350340
71023510330
oct241713064
987765056
1042440244
1121a57a90
12122683b0
138a3c492
1458ca7c0
153ad4d49
hex2879634

42440244 has 96 divisors (see below), whose sum is σ = 128894976. Its totient is φ = 10538880.

The previous prime is 42440197. The next prime is 42440249. The reversal of 42440244 is 44204424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42440249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20254 + ... + 22250.

It is an arithmetic number, because the mean of its divisors is an integer number (1342656).

Almost surely, 242440244 is an apocalyptic number.

42440244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42440244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64447488).

42440244 is an abundant number, since it is smaller than the sum of its proper divisors (86454732).

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

42440244 is a wasteful number, since it uses less digits than its factorization.

42440244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2045 (or 2043 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 42440244 is about 6514.6177171036. The cubic root of 42440244 is about 348.8129691927.

Adding to 42440244 its reverse (44204424), we get a palindrome (86644668).

The spelling of 42440244 in words is "forty-two million, four hundred forty thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 23 28 33 42 44 46 66 69 77 84 92 132 138 154 161 231 253 276 308 322 462 483 506 644 759 924 966 1012 1518 1771 1932 1997 3036 3542 3994 5313 5991 7084 7988 10626 11982 13979 21252 21967 23964 27958 41937 43934 45931 55916 65901 83874 87868 91862 131802 137793 153769 167748 183724 263604 275586 307538 321517 461307 505241 551172 615076 643034 922614 964551 1010482 1286068 1515723 1845228 1929102 2020964 3031446 3536687 3858204 6062892 7073374 10610061 14146748 21220122 42440244