Search a number
-
+
42063318 = 232111091949
BaseRepresentation
bin1010000001110…
…1010111010110
32221011001000200
42200131113112
541232011233
64101321330
71020350403
oct240352726
987131020
1042063318
112181a880
1212106246
138939a4b
14582d2aa
153a5d313
hex281d5d6

42063318 has 48 divisors (see below), whose sum is σ = 100386000. Its totient is φ = 12623040.

The previous prime is 42063317. The next prime is 42063319. The reversal of 42063318 is 81336024.

It is a happy number.

42063318 is a `hidden beast` number, since 4 + 20 + 633 + 1 + 8 = 666.

42063318 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42063317) and next prime (42063319).

It is a junction number, because it is equal to n+sod(n) for n = 42063291 and 42063300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42063317) 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 23 ways as a sum of consecutive naturals, for example, 20608 + ... + 22556.

It is an arithmetic number, because the mean of its divisors is an integer number (2091375).

Almost surely, 242063318 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42063318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50193000).

42063318 is an abundant number, since it is smaller than the sum of its proper divisors (58322682).

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

42063318 is a wasteful number, since it uses less digits than its factorization.

42063318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2077 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 42063318 is about 6485.6239483954. The cubic root of 42063318 is about 347.7772553971. Note that the first 3 decimals are identical.

The spelling of 42063318 in words is "forty-two million, sixty-three thousand, three hundred eighteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 109 198 218 327 654 981 1199 1949 1962 2398 3597 3898 5847 7194 10791 11694 17541 21439 21582 35082 42878 64317 128634 192951 212441 385902 424882 637323 1274646 1911969 2336851 3823938 4673702 7010553 14021106 21031659 42063318