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42443120 = 245530539
BaseRepresentation
bin1010000111101…
…0000101110000
32221212100000102
42201322011300
541331134440
64113411532
71023521606
oct241720560
987770012
1042443120
1121a5a165
1212269ba8
138a40895
1458cb876
153ad5b15
hex287a170

42443120 has 20 divisors (see below), whose sum is σ = 98680440. Its totient is φ = 16977216.

The previous prime is 42443099. The next prime is 42443179. The reversal of 42443120 is 2134424.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×424431203 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 42443092 and 42443101.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 265190 + ... + 265349.

It is an arithmetic number, because the mean of its divisors is an integer number (4934022).

Almost surely, 242443120 is an apocalyptic number.

42443120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42443120 is an abundant number, since it is smaller than the sum of its proper divisors (56237320).

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

42443120 is a wasteful number, since it uses less digits than its factorization.

42443120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530552 (or 530546 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 42443120 is about 6514.8384477284. The cubic root of 42443120 is about 348.8208482194.

Adding to 42443120 its reverse (2134424), we get a palindrome (44577544).

The spelling of 42443120 in words is "forty-two million, four hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 530539 1061078 2122156 2652695 4244312 5305390 8488624 10610780 21221560 42443120