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42423160 = 23513174799
BaseRepresentation
bin1010000111010…
…1001101111000
32221211022122011
42201311031320
541330020120
64113135304
71023406453
oct241651570
987738564
1042423160
1121a4616a
121225a534
138a34780
1458c449a
153acec5a
hex2875378

42423160 has 64 divisors (see below), whose sum is σ = 108864000. Its totient is φ = 14739456.

The previous prime is 42423149. The next prime is 42423163. The reversal of 42423160 is 6132424.

It is a happy number.

42423160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42423163) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6441 + ... + 11239.

It is an arithmetic number, because the mean of its divisors is an integer number (1701000).

Almost surely, 242423160 is an apocalyptic number.

42423160 is a gapful number since it is divisible by the number (40) 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 42423160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54432000).

42423160 is an abundant number, since it is smaller than the sum of its proper divisors (66440840).

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

42423160 is a wasteful number, since it uses less digits than its factorization.

42423160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4840 (or 4836 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 42423160 is about 6513.3063800193. The cubic root of 42423160 is about 348.7661589015.

Adding to 42423160 its reverse (6132424), we get a palindrome (48555584).

The spelling of 42423160 in words is "forty-two million, four hundred twenty-three thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 260 340 442 520 680 884 1105 1768 2210 4420 4799 8840 9598 19196 23995 38392 47990 62387 81583 95980 124774 163166 191960 249548 311935 326332 407915 499096 623870 652664 815830 1060579 1247740 1631660 2121158 2495480 3263320 4242316 5302895 8484632 10605790 21211580 42423160