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242947585 = 5192134597
BaseRepresentation
bin11100111101100…
…01011000000001
3121221011000102201
432132301120001
5444143310320
640035113201
76010006666
oct1636613001
9557130381
10242947585
11115157131
1269442801
133b44368a
14243a1a6d
15164de70a
hexe7b1601

242947585 has 12 divisors (see below), whose sum is σ = 307691028. Its totient is φ = 184127328.

The previous prime is 242947553. The next prime is 242947603. The reversal of 242947585 is 585749242.

It can be written as a sum of positive squares in 2 ways, for example, as 44729344 + 198218241 = 6688^2 + 14079^2 .

It is not a de Polignac number, because 242947585 - 25 = 242947553 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65494 + ... + 69103.

It is an arithmetic number, because the mean of its divisors is an integer number (25640919).

Almost surely, 2242947585 is an apocalyptic number.

It is an amenable number.

242947585 is a deficient number, since it is larger than the sum of its proper divisors (64743443).

242947585 is a wasteful number, since it uses less digits than its factorization.

242947585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134640 (or 134621 counting only the distinct ones).

The product of its digits is 806400, while the sum is 46.

The square root of 242947585 is about 15586.7759655421. The cubic root of 242947585 is about 623.9802763668.

The spelling of 242947585 in words is "two hundred forty-two million, nine hundred forty-seven thousand, five hundred eighty-five".

Divisors: 1 5 19 95 361 1805 134597 672985 2557343 12786715 48589517 242947585