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1828335145 = 571314472777
BaseRepresentation
bin110110011111010…
…0010111000101001
311201102100001022111
41230332202320221
512221023211040
6501231322321
763210410110
oct15476427051
94642301274
101828335145
1185905828a
124303803a1
13231a31320
14134b70c77
15aa7a3dea
hex6cfa2e29

1828335145 has 32 divisors (see below), whose sum is σ = 2703149568. Its totient is φ = 1156059648.

The previous prime is 1828335137. The next prime is 1828335161. The reversal of 1828335145 is 5415338281.

It is a cyclic number.

It is not a de Polignac number, because 1828335145 - 23 = 1828335137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1828335098 and 1828335107.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 656997 + ... + 659773.

It is an arithmetic number, because the mean of its divisors is an integer number (84473424).

Almost surely, 21828335145 is an apocalyptic number.

It is an amenable number.

1828335145 is a deficient number, since it is larger than the sum of its proper divisors (874814423).

1828335145 is a wasteful number, since it uses less digits than its factorization.

1828335145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4249.

The product of its digits is 115200, while the sum is 40.

The square root of 1828335145 is about 42759.0358286994. The cubic root of 1828335145 is about 1222.7901617328.

The spelling of 1828335145 in words is "one billion, eight hundred twenty-eight million, three hundred thirty-five thousand, one hundred forty-five".

Divisors: 1 5 7 13 35 65 91 455 1447 2777 7235 10129 13885 18811 19439 36101 50645 94055 97195 131677 180505 252707 658385 1263535 4018319 20091595 28128233 52238147 140641165 261190735 365667029 1828335145