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48400013 is a prime number
BaseRepresentation
bin1011100010100…
…0011010001101
310101001222100002
42320220122031
544342300023
64445214045
71125251624
oct270503215
9111058302
1048400013
1125358712
1214261325
13a04807c
1465dc6bb
1543b0b28
hex2e2868d

48400013 has 2 divisors, whose sum is σ = 48400014. Its totient is φ = 48400012.

The previous prime is 48399991. The next prime is 48400019. The reversal of 48400013 is 31000484.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 39715204 + 8684809 = 6302^2 + 2947^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-48400013 is a prime.

It is a super-2 number, since 2×484000132 = 4685122516800338, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (48400019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 24200006 + 24200007.

It is an arithmetic number, because the mean of its divisors is an integer number (24200007).

Almost surely, 248400013 is an apocalyptic number.

It is an amenable number.

48400013 is a deficient number, since it is larger than the sum of its proper divisors (1).

48400013 is an equidigital number, since it uses as much as digits as its factorization.

48400013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 48400013 is about 6957.0117866797. The cubic root of 48400013 is about 364.4308713473.

Adding to 48400013 its reverse (31000484), we get a palindrome (79400497).

The spelling of 48400013 in words is "forty-eight million, four hundred thousand, thirteen".