Monday, February 11, 2019

Number of the day: 5449

Properties of the number 5449:

5449 is a cyclic number.
5449 is the 721th prime.
5449 has 13 antidivisors and 5448 totatives.
5449 has a semiprime digit sum 22 in base 10.
Reversing the decimal digits of 5449 results in a semiprime.
5449 = 27252 - 27242 is the difference of 2 nonnegative squares in 1 way.
5449 is the difference of 2 positive pentagonal numbers in 1 way.
5449 = 432 + 602 is the sum of 2 positive squares in 1 way.
5449 = 22 + 332 + 662 is the sum of 3 positive squares.
54492 = 17512 + 51602 is the sum of 2 positive squares in 1 way.
54492 is the sum of 3 positive squares.
5449 is a proper divisor of 17227 - 1.
5449 = '5' + '449' is the concatenation of 2 prime numbers.
5449 is an emirp in (at least) the following bases: 4, 9, 17, 20, 23, 27, 31, 45, 56, 61, 63, 65, 66, 68, 76, 79, 83, 85, and 86.
5449 is palindromic in (at least) base 19.
5449 in base 19 = f1f and consists of only the digits '1' and 'f'.
5449 in base 42 = 33V and consists of only the digits '3' and 'V'.

The number 5449 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A001136: Primes p such that the multiplicative order of 2 modulo p is (p-1)/6.
A035095: Smallest prime congruent to 1 (mod prime(n)).
A061779: Primes p such that q-p = 22, where q is the next prime after p.
A066674: Least number m such that phi(m) = A000010(m) is divisible by the n-th prime.
A066739: Number of representations of n as a sum of products of positive integers. 1 is not allowed as a factor, unless it is the only factor. Representations which differ only in the order of terms or factors are considered equivalent.
A112796: Primes such that the sum of the predecessor and successor primes is divisible by 17.
A124179: Prime(R(p)) where Prime(i) is the i-th prime and R(p) is the value of the reverse of the digits of prime p.
A125878: a(n) = the least number k such that cos(2pi/k) is an algebraic number of a prime(n)-smooth degree, but not prime(n-1)-smooth.
A156167: Numbers n such that n![7]-1 is prime (where n![7] = A114799(n) = septuple factorial).
A247981: Primes dividing nonzero terms in A003095: the iterates of x^2 + 1 starting at 0.

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