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248036085 = 32511245553
BaseRepresentation
bin11101100100010…
…11101011110101
3122021201112112200
432302023223311
51001444123320
640340135113
76101162163
oct1662135365
9567645480
10248036085
11118012200
126b097499
133c50581b
1424d28233
1516b97290
hexec8baf5

248036085 has 36 divisors (see below), whose sum is σ = 472577196. Its totient is φ = 120257280.

The previous prime is 248036039. The next prime is 248036111. The reversal of 248036085 is 580630842.

248036085 is a `hidden beast` number, since 2 + 48 + 0 + 3 + 608 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 142706916 + 105329169 = 11946^2 + 10263^2 .

It is not a de Polignac number, because 248036085 - 28 = 248035829 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 (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17332 + ... + 28221.

Almost surely, 2248036085 is an apocalyptic number.

It is an amenable number.

248036085 is a deficient number, since it is larger than the sum of its proper divisors (224541111).

248036085 is a wasteful number, since it uses less digits than its factorization.

248036085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45586 (or 45572 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 248036085 is about 15749.1614062464. The cubic root of 248036085 is about 628.3066012372.

The spelling of 248036085 in words is "two hundred forty-eight million, thirty-six thousand, eighty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 121 165 363 495 605 1089 1815 5445 45553 136659 227765 409977 501083 683295 1503249 2049885 2505415 4509747 5511913 7516245 16535739 22548735 27559565 49607217 82678695 248036085