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42818213 = 37231277
BaseRepresentation
bin1010001101010…
…1101010100101
32222120101112202
42203111222211
541430140323
64125424245
71026643304
oct243255245
988511482
1042818213
1122195a59
121240b085
138b42529
14598843b
153b5bd28
hex28d5aa5

42818213 has 6 divisors (see below), whose sum is σ = 44008146. Its totient is φ = 41659632.

The previous prime is 42818207. The next prime is 42818231. The reversal of 42818213 is 31281824.

42818213 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 3 ways, for example, as 25786084 + 17032129 = 5078^2 + 4127^2 .

It is not a de Polignac number, because 42818213 - 24 = 42818197 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42818263) 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 5 ways as a sum of consecutive naturals, for example, 14270 + ... + 17007.

It is an arithmetic number, because the mean of its divisors is an integer number (7334691).

Almost surely, 242818213 is an apocalyptic number.

It is an amenable number.

42818213 is a deficient number, since it is larger than the sum of its proper divisors (1189933).

42818213 is an equidigital number, since it uses as much as digits as its factorization.

42818213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31351 (or 31314 counting only the distinct ones).

The product of its digits is 3072, while the sum is 29.

The square root of 42818213 is about 6543.5627146074. The cubic root of 42818213 is about 349.8454092802.

It can be divided in two parts, 4281821 and 3, that added together give a palindrome (4281824).

The spelling of 42818213 in words is "forty-two million, eight hundred eighteen thousand, two hundred thirteen".

Divisors: 1 37 1369 31277 1157249 42818213