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242397585 = 32515433491
BaseRepresentation
bin11100111001010…
…11000110010001
3121220010001222100
432130223012101
5444023210320
640015231013
76002226333
oct1634530621
9556101870
10242397585
11114910991
1269218469
133b2b0231
142429b453
1516431790
hexe72b191

242397585 has 24 divisors (see below), whose sum is σ = 420548544. Its totient is φ = 129157920.

The previous prime is 242397583. The next prime is 242397593. The reversal of 242397585 is 585793242.

242397585 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 242397585 - 21 = 242397583 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 242397585.

It is not an unprimeable number, because it can be changed into a prime (242397581) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67690 + ... + 71180.

It is an arithmetic number, because the mean of its divisors is an integer number (17522856).

Almost surely, 2242397585 is an apocalyptic number.

It is an amenable number.

242397585 is a deficient number, since it is larger than the sum of its proper divisors (178150959).

242397585 is a wasteful number, since it uses less digits than its factorization.

242397585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5045 (or 5042 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 242397585 is about 15569.1228076600. The cubic root of 242397585 is about 623.5090520134.

The spelling of 242397585 in words is "two hundred forty-two million, three hundred ninety-seven thousand, five hundred eighty-five".

Divisors: 1 3 5 9 15 45 1543 3491 4629 7715 10473 13887 17455 23145 31419 52365 69435 157095 5386613 16159839 26933065 48479517 80799195 242397585