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8024397241 = 726721912
BaseRepresentation
bin1110111100100101…
…01001010110111001
3202201020022121121211
413132102221112321
5112413221202431
63404130403121
7402565152100
oct73622512671
922636277554
108024397241
113448621463
12167b4304a1
139ab605b63
14561a19037
1531e7192b1
hex1de4a95b9

8024397241 has 27 divisors (see below), whose sum is σ = 9525775077. Its totient is φ = 6739923960.

The previous prime is 8024397217. The next prime is 8024397259. The reversal of 8024397241 is 1427934208.

The square root of 8024397241 is 89579.

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

It is not a de Polignac number, because 8024397241 - 211 = 8024395193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8024397194 and 8024397203.

It is not an unprimeable number, because it can be changed into a prime (8024397541) 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, 42012456 + ... + 42012646.

Almost surely, 28024397241 is an apocalyptic number.

8024397241 is the 89579-th square number.

8024397241 is the 44790-th centered octagonal number.

It is an amenable number.

8024397241 is a deficient number, since it is larger than the sum of its proper divisors (1501377836).

8024397241 is an frugal number, since it uses more digits than its factorization.

8024397241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The cubic root of 8024397241 is about 2002.0310401564.

The spelling of 8024397241 in words is "eight billion, twenty-four million, three hundred ninety-seven thousand, two hundred forty-one".

Divisors: 1 7 49 67 191 469 1337 3283 4489 9359 12797 31423 36481 89579 219961 255367 627053 857399 1787569 2444227 6001793 17109589 42012551 119767123 163763209 1146342463 8024397241