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42814313 = 176413929
BaseRepresentation
bin1010001101010…
…0101101101001
32222120012012022
42203110231221
541430024223
64125354225
71026626033
oct243245551
988505168
1042814313
1122193033
1212408975
138b40819
145986c53
153b5aac8
hex28d4b69

42814313 has 8 divisors (see below), whose sum is σ = 45415080. Its totient is φ = 40222720.

The previous prime is 42814307. The next prime is 42814327. The reversal of 42814313 is 31341824.

42814313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 12652249 + 30162064 = 3557^2 + 5492^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 42814313 - 24 = 42814297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42814333) 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 7 ways as a sum of consecutive naturals, for example, 8933 + ... + 12861.

It is an arithmetic number, because the mean of its divisors is an integer number (5676885).

Almost surely, 242814313 is an apocalyptic number.

It is an amenable number.

42814313 is a deficient number, since it is larger than the sum of its proper divisors (2600767).

42814313 is a wasteful number, since it uses less digits than its factorization.

42814313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4587.

The product of its digits is 2304, while the sum is 26.

The square root of 42814313 is about 6543.2647050230. The cubic root of 42814313 is about 349.8347873320.

It can be divided in two parts, 428 and 14313, that added together give a palindrome (14741).

The spelling of 42814313 in words is "forty-two million, eight hundred fourteen thousand, three hundred thirteen".

Divisors: 1 17 641 3929 10897 66793 2518489 42814313