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2405322045 = 325721090849
BaseRepresentation
bin1000111101011110…
…0100110100111101
320012122001000112200
42033113210310331
514411230301140
61034402222113
7113414620500
oct21727446475
96178030480
102405322045
111024818065
12571654939
132c44301a9
1418b647137
15e1278030
hex8f5e4d3d

2405322045 has 36 divisors (see below), whose sum is σ = 4849919100. Its totient is φ = 1099574784.

The previous prime is 2405322001. The next prime is 2405322067. The reversal of 2405322045 is 5402235042.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 253382724 + 2151939321 = 15918^2 + 46389^2 .

It is not a de Polignac number, because 2405322045 - 215 = 2405289277 is a prime.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 543220 + ... + 547629.

It is an arithmetic number, because the mean of its divisors is an integer number (134719975).

Almost surely, 22405322045 is an apocalyptic number.

It is an amenable number.

2405322045 is an abundant number, since it is smaller than the sum of its proper divisors (2444597055).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2405322045 is a wasteful number, since it uses less digits than its factorization.

2405322045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090874 (or 1090864 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 2405322045 is about 49044.0826705934. The cubic root of 2405322045 is about 1339.8548229517.

Adding to 2405322045 its reverse (5402235042), we get a palindrome (7807557087).

The spelling of 2405322045 in words is "two billion, four hundred five million, three hundred twenty-two thousand, forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 1090849 3272547 5454245 7635943 9817641 16362735 22907829 38179715 49088205 53451601 68723487 114539145 160354803 267258005 343617435 481064409 801774015 2405322045