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9280000829 = 11843636439
BaseRepresentation
bin10001010010010000…
…11001001100111101
3212221201221212221102
420221020121030331
5123001140011304
64132502342445
7445652464001
oct105110311475
925851855842
109280000829
113a32355a80
12196ba2aa25
13b4b798168
146406a0701
15394a89d1e
hex22921933d

9280000829 has 4 divisors (see below), whose sum is σ = 10123637280. Its totient is φ = 8436364380.

The previous prime is 9280000823. The next prime is 9280000853.

9280000829 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 9280000829 - 220 = 9278952253 is a prime.

It is a super-2 number, since 2×92800008292 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 9280000792 and 9280000801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9280000823) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 421818209 + ... + 421818230.

It is an arithmetic number, because the mean of its divisors is an integer number (2530909320).

Almost surely, 29280000829 is an apocalyptic number.

It is an amenable number.

9280000829 is a deficient number, since it is larger than the sum of its proper divisors (843636451).

9280000829 is a wasteful number, since it uses less digits than its factorization.

9280000829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843636450.

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 9280000829 is about 96332.7609331322. The cubic root of 9280000829 is about 2101.4352115722.

It can be divided in two parts, 9280000 and 829, that added together give a palindrome (9280829).

The spelling of 9280000829 in words is "nine billion, two hundred eighty million, eight hundred twenty-nine", and thus it is an aban number.

Divisors: 1 11 843636439 9280000829