Search a number
-
+
42966162 = 23223671549
BaseRepresentation
bin1010001111100…
…1110010010010
32222211220111100
42203321302102
541444404122
64132525230
71031130531
oct243716222
988756440
1042966162
1122287128
1212480816
138b94985
1459c6318
153b8aaac
hex28f9c92

42966162 has 48 divisors (see below), whose sum is σ = 98654400. Its totient is φ = 13486176.

The previous prime is 42966149. The next prime is 42966167. The reversal of 42966162 is 26166924.

42966162 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (42966167) 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, 26964 + ... + 28512.

It is an arithmetic number, because the mean of its divisors is an integer number (2055300).

Almost surely, 242966162 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42966162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49327200).

42966162 is an abundant number, since it is smaller than the sum of its proper divisors (55688238).

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

42966162 is a wasteful number, since it uses less digits than its factorization.

42966162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647 (or 1644 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 42966162 is about 6554.8578931965. The cubic root of 42966162 is about 350.2478842608.

The spelling of 42966162 in words is "forty-two million, nine hundred sixty-six thousand, one hundred sixty-two".

Divisors: 1 2 3 6 9 18 23 46 67 69 134 138 201 207 402 414 603 1206 1541 1549 3082 3098 4623 4647 9246 9294 13869 13941 27738 27882 35627 71254 103783 106881 207566 213762 311349 320643 622698 641286 934047 1868094 2387009 4774018 7161027 14322054 21483081 42966162