Search a number
-
+
42540631 = 743791789
BaseRepresentation
bin1010001001000…
…1111001010111
32222001021202221
42202101321113
541342300011
64115443211
71024406110
oct242217127
988037687
1042540631
1122016451
12122b6507
138a76093
145915207
153b04971
hex2891e57

42540631 has 16 divisors (see below), whose sum is σ = 50406400. Its totient is φ = 35144928.

The previous prime is 42540581. The next prime is 42540637. The reversal of 42540631 is 13604524.

42540631 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 42540631 - 211 = 42538583 is a prime.

It is a super-2 number, since 2×425406312 = 3619410571756322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42540596 and 42540605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42540637) 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 15 ways as a sum of consecutive naturals, for example, 22885 + ... + 24673.

It is an arithmetic number, because the mean of its divisors is an integer number (3150400).

Almost surely, 242540631 is an apocalyptic number.

42540631 is a deficient number, since it is larger than the sum of its proper divisors (7865769).

42540631 is a wasteful number, since it uses less digits than its factorization.

42540631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918.

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 42540631 is about 6522.3179162013. The cubic root of 42540631 is about 349.0877768722.

The spelling of 42540631 in words is "forty-two million, five hundred forty thousand, six hundred thirty-one".

Divisors: 1 7 43 79 301 553 1789 3397 12523 23779 76927 141331 538489 989317 6077233 42540631