Search a number
-
+
42642414 = 23223103001
BaseRepresentation
bin1010001010101…
…0101111101110
32222020110101200
42202222233232
541404024124
64121550330
71025311623
oct242525756
988213350
1042642414
1122085971
12123453a6
138ab04c9
14594034a
153b24bc9
hex28aabee

42642414 has 24 divisors (see below), whose sum is σ = 96409872. Its totient is φ = 13596000.

The previous prime is 42642401. The next prime is 42642473. The reversal of 42642414 is 41424624.

It is a happy number.

42642414 is a `hidden beast` number, since 4 + 2 + 642 + 4 + 14 = 666.

It is a plaindrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51087 + ... + 51914.

It is an arithmetic number, because the mean of its divisors is an integer number (4017078).

Almost surely, 242642414 is an apocalyptic number.

42642414 is an abundant number, since it is smaller than the sum of its proper divisors (53767458).

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

42642414 is a wasteful number, since it uses less digits than its factorization.

42642414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103032 (or 103029 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 42642414 is about 6530.1159254641. The cubic root of 42642414 is about 349.3659650464.

The spelling of 42642414 in words is "forty-two million, six hundred forty-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 103001 206002 309003 618006 927009 1854018 2369023 4738046 7107069 14214138 21321207 42642414