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42423264 = 2534131259
BaseRepresentation
bin1010000111010…
…1001111100000
32221211022210000
42201311033200
541330021024
64113140000
71023406662
oct241651740
987738700
1042423264
1121a46254
121225a600
138a34830
1458c4532
153acecc9
hex28753e0

42423264 has 120 divisors (see below), whose sum is σ = 134469720. Its totient is φ = 13042944.

The previous prime is 42423263. The next prime is 42423289. The reversal of 42423264 is 46232424.

42423264 is a `hidden beast` number, since 424 + 232 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42423263) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 33067 + ... + 34325.

It is an arithmetic number, because the mean of its divisors is an integer number (1120581).

Almost surely, 242423264 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 42423264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67234860).

42423264 is an abundant number, since it is smaller than the sum of its proper divisors (92046456).

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

42423264 is a wasteful number, since it uses less digits than its factorization.

42423264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 1277 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 42423264 is about 6513.3143636708. The cubic root of 42423264 is about 348.7664439003.

Adding to 42423264 its reverse (46232424), we get a palindrome (88655688).

The spelling of 42423264 in words is "forty-two million, four hundred twenty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 288 312 324 351 416 432 468 624 648 702 864 936 1053 1248 1259 1296 1404 1872 2106 2518 2592 2808 3744 3777 4212 5036 5616 7554 8424 10072 11232 11331 15108 16367 16848 20144 22662 30216 32734 33696 33993 40288 45324 49101 60432 65468 67986 90648 98202 101979 120864 130936 135972 147303 181296 196404 203958 261872 271944 294606 362592 392808 407916 441909 523744 543888 589212 785616 815832 883818 1087776 1178424 1325727 1571232 1631664 1767636 2356848 2651454 3263328 3535272 4713696 5302908 7070544 10605816 14141088 21211632 42423264