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47513449 = 6121132
BaseRepresentation
bin1011010100111…
…1111101101001
310022101221012101
42311033331221
544130412244
64414213401
71114600114
oct265177551
9108357171
1047513449
1124902615
1213ab4261
139ac7689
14644b57b
1542880d4
hex2d4ff69

47513449 has 9 divisors (see below), whose sum is σ = 48736389. Its totient is φ = 46320960.

The previous prime is 47513443. The next prime is 47513461. The reversal of 47513449 is 94431574.

The square root of 47513449 is 6893.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 42968025 + 4545424 = 6555^2 + 2132^2 .

It is not a de Polignac number, because 47513449 - 23 = 47513441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47513441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 420417 + ... + 420529.

Almost surely, 247513449 is an apocalyptic number.

47513449 is the 6893-rd square number.

47513449 is the 3447-th centered octagonal number.

It is an amenable number.

47513449 is a deficient number, since it is larger than the sum of its proper divisors (1222940).

47513449 is an frugal number, since it uses more digits than its factorization.

47513449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 174 counting only the distinct ones).

The product of its digits is 60480, while the sum is 37.

The cubic root of 47513449 is about 362.1919990208.

It can be divided in two parts, 475 and 13449, that added together give a square (13924 = 1182).

The spelling of 47513449 in words is "forty-seven million, five hundred thirteen thousand, four hundred forty-nine".

Divisors: 1 61 113 3721 6893 12769 420473 778909 47513449