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42736213 = 132252877
BaseRepresentation
bin1010001100000…
…1101001010101
32222102020001201
42203001221111
541420024323
64123552501
71026152242
oct243015125
988366051
1042736213
112213a393
121238b731
138b14100
1459665c9
153b428ad
hex28c1a55

42736213 has 6 divisors (see below), whose sum is σ = 46276674. Its totient is φ = 39448656.

The previous prime is 42736201. The next prime is 42736217. The reversal of 42736213 is 31263724.

It can be written as a sum of positive squares in 3 ways, for example, as 3844 + 42732369 = 62^2 + 6537^2 .

It is not a de Polignac number, because 42736213 - 217 = 42605141 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42736217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 126270 + ... + 126607.

It is an arithmetic number, because the mean of its divisors is an integer number (7712779).

Almost surely, 242736213 is an apocalyptic number.

It is an amenable number.

42736213 is a deficient number, since it is larger than the sum of its proper divisors (3540461).

42736213 is a wasteful number, since it uses less digits than its factorization.

42736213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252903 (or 252890 counting only the distinct ones).

The product of its digits is 6048, while the sum is 28.

The square root of 42736213 is about 6537.2940120512. The cubic root of 42736213 is about 349.6219400769.

Adding to 42736213 its reverse (31263724), we get a palindrome (73999937).

The spelling of 42736213 in words is "forty-two million, seven hundred thirty-six thousand, two hundred thirteen".

Divisors: 1 13 169 252877 3287401 42736213