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47042813 is a prime number
BaseRepresentation
bin1011001101110…
…1000011111101
310021112000121102
42303131003331
544020332223
64400142445
71110600026
oct263350375
9107460542
1047042813
1124610a64
1213907a25
1399913ac
146367c4d
1541e3928
hex2cdd0fd

47042813 has 2 divisors, whose sum is σ = 47042814. Its totient is φ = 47042812.

The previous prime is 47042789. The next prime is 47042837. The reversal of 47042813 is 31824074.

It is a balanced prime because it is at equal distance from previous prime (47042789) and next prime (47042837).

It can be written as a sum of positive squares in only one way, i.e., 35022724 + 12020089 = 5918^2 + 3467^2 .

It is a cyclic number.

It is not a de Polignac number, because 47042813 - 28 = 47042557 is a prime.

It is a super-3 number, since 3×470428133 (a number of 24 digits) contains 333 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (47042113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23521406 + 23521407.

It is an arithmetic number, because the mean of its divisors is an integer number (23521407).

Almost surely, 247042813 is an apocalyptic number.

It is an amenable number.

47042813 is a deficient number, since it is larger than the sum of its proper divisors (1).

47042813 is an equidigital number, since it uses as much as digits as its factorization.

47042813 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 47042813 is about 6858.7763485916. The cubic root of 47042813 is about 360.9921525395.

Adding to 47042813 its reverse (31824074), we get a palindrome (78866887).

The spelling of 47042813 in words is "forty-seven million, forty-two thousand, eight hundred thirteen".