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7320000249 = 32194792
BaseRepresentation
bin1101101000100111…
…00101011011111001
3200220010212112121100
412310103211123321
5104442410001444
63210205002013
7346252655412
oct66423453371
920803775540
107320000249
113116a49591
121503553309
138c86b72c3
144d6258809
152cc978e69
hex1b44e56f9

7320000249 has 45 divisors (see below), whose sum is σ = 11303800053. Its totient is φ = 4564637064.

The previous prime is 7320000239. The next prime is 7320000323. The reversal of 7320000249 is 9420000237.

The square root of 7320000249 is 85557.

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

7320000249 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 7320000249 - 217 = 7319869177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7320000239) 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 44 ways as a sum of consecutive naturals, for example, 92658192 + ... + 92658270.

Almost surely, 27320000249 is an apocalyptic number.

7320000249 is a gapful number since it is divisible by the number (79) formed by its first and last digit.

7320000249 is the 85557-th square number.

7320000249 is the 42779-th centered octagonal number.

It is an amenable number.

7320000249 is a deficient number, since it is larger than the sum of its proper divisors (3983799804).

7320000249 is an frugal number, since it uses more digits than its factorization.

7320000249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The cubic root of 7320000249 is about 1941.6473987228.

The spelling of 7320000249 in words is "seven billion, three hundred twenty million, two hundred forty-nine", and thus it is an aban number.

Divisors: 1 3 9 19 57 79 171 237 361 711 1083 1501 3249 4503 6241 6859 13509 18723 20577 28519 56169 61731 85557 118579 130321 256671 355737 390963 541861 1067211 1172889 1625583 2253001 4876749 6759003 10295359 20277009 30886077 42807019 92658231 128421057 385263171 813333361 2440000083 7320000249