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242442117 = 321729101541
BaseRepresentation
bin11100111001101…
…01111110000101
3121220012100001200
432130311332011
5444031121432
640020213113
76002503221
oct1634657605
9556170050
10242442117
11114941395
126923a199
133b2c7598
14242ad781
151643ea7c
hexe735f85

242442117 has 48 divisors (see below), whose sum is σ = 388093680. Its totient is φ = 145152000.

The previous prime is 242442107. The next prime is 242442133. The reversal of 242442117 is 711244242.

It can be written as a sum of positive squares in 8 ways, for example, as 36978561 + 205463556 = 6081^2 + 14334^2 .

It is not a de Polignac number, because 242442117 - 27 = 242441989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242442107) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 447867 + ... + 448407.

It is an arithmetic number, because the mean of its divisors is an integer number (8085285).

Almost surely, 2242442117 is an apocalyptic number.

It is an amenable number.

242442117 is a deficient number, since it is larger than the sum of its proper divisors (145651563).

242442117 is a wasteful number, since it uses less digits than its factorization.

242442117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 691 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 242442117 is about 15570.5528803572. The cubic root of 242442117 is about 623.5472322686.

Adding to 242442117 its reverse (711244242), we get a palindrome (953686359).

The spelling of 242442117 in words is "two hundred forty-two million, four hundred forty-two thousand, one hundred seventeen".

Divisors: 1 3 9 17 29 51 87 101 153 261 303 493 541 909 1479 1623 1717 2929 4437 4869 5151 8787 9197 15453 15689 26361 27591 47067 49793 54641 82773 141201 149379 163923 266713 448137 491769 800139 928897 1584589 2400417 2786691 4753767 8360073 14261301 26938013 80814039 242442117