Search a number
-
+
297252081 = 32728212
BaseRepresentation
bin10001101101111…
…011010011110001
3202201022222012100
4101231323103301
51102044031311
645255051013
710236413100
oct2155732361
9681288170
10297252081
11142877985
1283670a69
1349778109
142b69a037
151b169a56
hex11b7b4f1

297252081 has 27 divisors (see below), whose sum is σ = 500073483. Its totient is φ = 169651440.

The previous prime is 297252073. The next prime is 297252083. The reversal of 297252081 is 180252792.

The square root of 297252081 is 17241.

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., 81162081 + 216090000 = 9009^2 + 14700^2 .

It is not a de Polignac number, because 297252081 - 23 = 297252073 is a prime.

It is a super-2 number, since 2×2972520812 = 176717599317661122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (297252083) 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 26 ways as a sum of consecutive naturals, for example, 361651 + ... + 362471.

Almost surely, 2297252081 is an apocalyptic number.

297252081 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

297252081 is the 17241-st square number.

297252081 is the 8621-st centered octagonal number.

It is an amenable number.

297252081 is a deficient number, since it is larger than the sum of its proper divisors (202821402).

297252081 is an frugal number, since it uses more digits than its factorization.

297252081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The cubic root of 297252081 is about 667.3827357866.

Multiplying 297252081 by its sum of digits (36), we get a square (10701074916 = 1034462).

The spelling of 297252081 in words is "two hundred ninety-seven million, two hundred fifty-two thousand, eighty-one".

Divisors: 1 3 7 9 21 49 63 147 441 821 2463 5747 7389 17241 40229 51723 120687 362061 674041 2022123 4718287 6066369 14154861 33028009 42464583 99084027 297252081