Search a number
-
+
242442424 = 2377615689
BaseRepresentation
bin11100111001101…
…10000010111000
3121220012100111001
432130312002320
5444031124144
640020214344
76002504140
oct1634660270
9556170431
10242442424
11114941644
126923a3b4
133b2c7773
14242ad920
151643ebd4
hexe7360b8

242442424 has 32 divisors (see below), whose sum is σ = 520293600. Its totient is φ = 103749120.

The previous prime is 242442397. The next prime is 242442427. The reversal of 242442424 is 424244242.

242442424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 242442392 and 242442401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242442427) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39772 + ... + 45460.

It is an arithmetic number, because the mean of its divisors is an integer number (16259175).

Almost surely, 2242442424 is an apocalyptic number.

It is an amenable number.

242442424 is an abundant number, since it is smaller than the sum of its proper divisors (277851176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

242442424 is a wasteful number, since it uses less digits than its factorization.

242442424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6463 (or 6459 counting only the distinct ones).

The product of its digits is 16384, while the sum is 28.

The square root of 242442424 is about 15570.5627387067. The cubic root of 242442424 is about 623.5474954639.

Adding to 242442424 its reverse (424244242), we get a palindrome (666686666).

The spelling of 242442424 in words is "two hundred forty-two million, four hundred forty-two thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 56 761 1522 3044 5327 5689 6088 10654 11378 21308 22756 39823 42616 45512 79646 159292 318584 4329329 8658658 17317316 30305303 34634632 60610606 121221212 242442424