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248583005 = 51126412
BaseRepresentation
bin11101101000100…
…01001101011101
3122022202022202222
432310101031131
51002114124010
640355555125
76105630536
oct1664211535
9568668688
10248583005
11118356100
126b2bbaa5
133c667748
142502b68d
1516c54355
hexed1135d

248583005 has 18 divisors (see below), whose sum is σ = 328395354. Its totient is φ = 180505600.

The previous prime is 248582977. The next prime is 248583053. The reversal of 248583005 is 500385842.

It can be written as a sum of positive squares in 3 ways, for example, as 125395204 + 123187801 = 11198^2 + 11099^2 .

It is not a de Polignac number, because 248583005 - 26 = 248582941 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 387485 + ... + 388125.

Almost surely, 2248583005 is an apocalyptic number.

It is an amenable number.

248583005 is a deficient number, since it is larger than the sum of its proper divisors (79812349).

248583005 is an frugal number, since it uses more digits than its factorization.

248583005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

The square root of 248583005 is about 15766.5153093510. The cubic root of 248583005 is about 628.7680679421.

The spelling of 248583005 in words is "two hundred forty-eight million, five hundred eighty-three thousand, five".

Divisors: 1 5 11 55 121 605 641 3205 7051 35255 77561 387805 410881 2054405 4519691 22598455 49716601 248583005