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42443940 = 22357119187
BaseRepresentation
bin1010000111101…
…0010010100100
32221212101010210
42201322102210
541331201230
64113415420
71023524160
oct241722244
987771123
1042443940
1121a5a840
121226a570
138a41076
1458cbca0
153ad5eb0
hex287a4a4

42443940 has 96 divisors (see below), whose sum is σ = 148184064. Its totient is φ = 8818560.

The previous prime is 42443939. The next prime is 42443953. The reversal of 42443940 is 4934424.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 42443898 and 42443907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27 + ... + 9213.

It is an arithmetic number, because the mean of its divisors is an integer number (1543584).

Almost surely, 242443940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42443940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74092032).

42443940 is an abundant number, since it is smaller than the sum of its proper divisors (105740124).

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

42443940 is a wasteful number, since it uses less digits than its factorization.

42443940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9217 (or 9215 counting only the distinct ones).

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

The square root of 42443940 is about 6514.9013806811. The cubic root of 42443940 is about 348.8230946082.

The spelling of 42443940 in words is "forty-two million, four hundred forty-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2310 4620 9187 18374 27561 36748 45935 55122 64309 91870 101057 110244 128618 137805 183740 192927 202114 257236 275610 303171 321545 385854 404228 505285 551220 606342 643090 707399 771708 964635 1010570 1212684 1286180 1414798 1515855 1929270 2021140 2122197 2829596 3031710 3536995 3858540 4244394 6063420 7073990 8488788 10610985 14147980 21221970 42443940