Search a number
-
+
242443125 = 34544789
BaseRepresentation
bin11100111001101…
…10001101110101
3121220012101110000
432130312031311
5444031140000
640020221513
76002506161
oct1634661565
9556171400
10242443125
11114942121
126923a899
133b2c7b92
14242adca1
1516440000
hexe736375

242443125 has 50 divisors (see below), whose sum is σ = 452659790. Its totient is φ = 129276000.

The previous prime is 242443109. The next prime is 242443163. The reversal of 242443125 is 521344242.

It can be written as a sum of positive squares in 5 ways, for example, as 157176369 + 85266756 = 12537^2 + 9234^2 .

It is not a de Polignac number, because 242443125 - 24 = 242443109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 49 ways as a sum of consecutive naturals, for example, 48231 + ... + 53019.

Almost surely, 2242443125 is an apocalyptic number.

242443125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

242443125 is a deficient number, since it is larger than the sum of its proper divisors (210216665).

242443125 is an frugal number, since it uses more digits than its factorization.

242443125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4821 (or 4797 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 242443125 is about 15570.5852491164. The cubic root of 242443125 is about 623.5480964401.

Adding to 242443125 its reverse (521344242), we get a palindrome (763787367).

The spelling of 242443125 in words is "two hundred forty-two million, four hundred forty-three thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 125 135 225 375 405 625 675 1125 1875 2025 3375 4789 5625 10125 14367 16875 23945 43101 50625 71835 119725 129303 215505 359175 387909 598625 646515 1077525 1795875 1939545 2993125 3232575 5387625 8979375 9697725 16162875 26938125 48488625 80814375 242443125