Search a number
-
+
42301329 = 3731181359
BaseRepresentation
bin1010000101011…
…1011110010001
32221121010111220
42201113132101
541312120304
64110355253
71022361330
oct241273621
987533456
1042301329
1121972684
12121bbb29
1389c1195
145891d17
153aa8ad9
hex2857791

42301329 has 32 divisors (see below), whose sum is σ = 67092480. Its totient is φ = 23198400.

The previous prime is 42301319. The next prime is 42301333. The reversal of 42301329 is 92310324.

42301329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42301329 - 24 = 42301313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42301299 and 42301308.

It is not an unprimeable number, because it can be changed into a prime (42301309) 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 31 ways as a sum of consecutive naturals, for example, 117652 + ... + 118010.

It is an arithmetic number, because the mean of its divisors is an integer number (2096640).

Almost surely, 242301329 is an apocalyptic number.

It is an amenable number.

42301329 is a deficient number, since it is larger than the sum of its proper divisors (24791151).

42301329 is a wasteful number, since it uses less digits than its factorization.

42301329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581.

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 42301329 is about 6503.9471861324. The cubic root of 42301329 is about 348.4319761128.

The spelling of 42301329 in words is "forty-two million, three hundred one thousand, three hundred twenty-nine".

Divisors: 1 3 7 21 31 93 181 217 359 543 651 1077 1267 2513 3801 5611 7539 11129 16833 33387 39277 64979 77903 117831 194937 233709 454853 1364559 2014349 6043047 14100443 42301329