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1971448801 = 7263432
BaseRepresentation
bin111010110000001…
…1110101111100001
312002101121222100021
41311200132233201
513014142330201
6523342553441
766566016100
oct16540365741
95071558307
101971448801
11921916733
12470298881
1325558b96a
14149b86037
15b8122ea1
hex7581ebe1

1971448801 has 9 divisors (see below), whose sum is σ = 2293679601. Its totient is φ = 1689546852.

The previous prime is 1971448777. The next prime is 1971448811. The reversal of 1971448801 is 1088441791.

It is a happy number.

The square root of 1971448801 is 44401.

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

It is not a de Polignac number, because 1971448801 - 219 = 1970924513 is a prime.

It is a super-2 number, since 2×19714488012 = 7773220749928675202, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1971448811) 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, 307636 + ... + 313978.

It is an arithmetic number, because the mean of its divisors is an integer number (254853289).

Almost surely, 21971448801 is an apocalyptic number.

1971448801 is the 44401-st square number.

1971448801 is the 22201-st centered octagonal number.

It is an amenable number.

1971448801 is a deficient number, since it is larger than the sum of its proper divisors (322230800).

1971448801 is an frugal number, since it uses more digits than its factorization.

1971448801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12700 (or 6350 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 43.

The cubic root of 1971448801 is about 1253.8969161575.

The spelling of 1971448801 in words is "one billion, nine hundred seventy-one million, four hundred forty-eight thousand, eight hundred one".

Divisors: 1 7 49 6343 44401 310807 40233649 281635543 1971448801