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992817081 = 383892
BaseRepresentation
bin111011001011010…
…010111110111001
32120012011100000000
4323023102332321
54013130121311
6242303303213
733413543304
oct7313227671
92505140000
10992817081
1146a468193
122385aab09
1312a8c3939
1495bdbb3b
155c263056
hex3b2d2fb9

992817081 has 27 divisors (see below), whose sum is σ = 1492987951. Its totient is φ = 660176568.

The previous prime is 992817061. The next prime is 992817083. The reversal of 992817081 is 180718299.

The square root of 992817081 is 31509.

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

It can be written as a sum of positive squares in only one way, i.e., 234365481 + 758451600 = 15309^2 + 27540^2 .

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 992817081 - 29 = 992816569 is a prime.

It is a super-3 number, since 3×9928170813 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (992817083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2552035 + ... + 2552423.

Almost surely, 2992817081 is an apocalyptic number.

992817081 is the 31509-th square number.

992817081 is the 15755-th centered octagonal number.

It is an amenable number.

992817081 is a deficient number, since it is larger than the sum of its proper divisors (500170870).

992817081 is an frugal number, since it uses more digits than its factorization.

992817081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The cubic root of 992817081 is about 997.5999379773.

The spelling of 992817081 in words is "nine hundred ninety-two million, eight hundred seventeen thousand, eighty-one".

Divisors: 1 3 9 27 81 243 389 729 1167 2187 3501 6561 10503 31509 94527 151321 283581 453963 850743 1361889 2552229 4085667 12257001 36771003 110313009 330939027 992817081