Search a number
-
+
42322530 = 2352383739
BaseRepresentation
bin1010000101110…
…0101001100010
32221122012121010
42201130221202
541313310110
64111041350
71022510205
oct241345142
987565533
1042322530
11219875a8
1212210256
1389caa23
14589993c
153ab0020
hex285ca62

42322530 has 64 divisors (see below), whose sum is σ = 107412480. Its totient is φ = 10650816.

The previous prime is 42322477. The next prime is 42322559. The reversal of 42322530 is 3522324.

It is a junction number, because it is equal to n+sod(n) for n = 42322497 and 42322506.

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 31 ways as a sum of consecutive naturals, for example, 56901 + ... + 57639.

It is an arithmetic number, because the mean of its divisors is an integer number (1678320).

Almost surely, 242322530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42322530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53706240).

42322530 is an abundant number, since it is smaller than the sum of its proper divisors (65089950).

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

42322530 is a wasteful number, since it uses less digits than its factorization.

42322530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855.

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 42322530 is about 6505.5768383749. The cubic root of 42322530 is about 348.4901765896.

Adding to 42322530 its reverse (3522324), we get a palindrome (45844854).

The spelling of 42322530 in words is "forty-two million, three hundred twenty-two thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 83 115 138 166 230 249 345 415 498 690 739 830 1245 1478 1909 2217 2490 3695 3818 4434 5727 7390 9545 11085 11454 16997 19090 22170 28635 33994 50991 57270 61337 84985 101982 122674 169970 184011 254955 306685 368022 509910 613370 920055 1410751 1840110 2821502 4232253 7053755 8464506 14107510 21161265 42322530