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4242404424 = 2334312133389
BaseRepresentation
bin1111110011011101…
…1111010001001000
3101221122211110210210
43330313133101020
532142023420144
61540545241120
7210062562006
oct37467372110
911848743723
104242404424
1118877aa265
129a49331a0
13527c04a9b
142c3613a76
1519c6a8ab9
hexfcddf448

4242404424 has 64 divisors (see below), whose sum is σ = 10864814400. Its totient is φ = 1379702016.

The previous prime is 4242404407. The next prime is 4242404429. The reversal of 4242404424 is 4244042424.

It is a junction number, because it is equal to n+sod(n) for n = 4242404391 and 4242404400.

It is not an unprimeable number, because it can be changed into a prime (4242404429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1250122 + ... + 1253510.

It is an arithmetic number, because the mean of its divisors is an integer number (169762725).

Almost surely, 24242404424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4242404424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5432407200).

4242404424 is an abundant number, since it is smaller than the sum of its proper divisors (6622409976).

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

4242404424 is a wasteful number, since it uses less digits than its factorization.

4242404424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4654 (or 4650 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

The square root of 4242404424 is about 65133.7425916859. The cubic root of 4242404424 is about 1618.8403558852.

Adding to 4242404424 its reverse (4244042424), we get a palindrome (8486446848).

The spelling of 4242404424 in words is "four billion, two hundred forty-two million, four hundred four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 516 1032 1213 2426 3389 3639 4852 6778 7278 9704 10167 13556 14556 20334 27112 29112 40668 52159 81336 104318 145727 156477 208636 291454 312954 417272 437181 582908 625908 874362 1165816 1251816 1748724 3497448 4110857 8221714 12332571 16443428 24665142 32886856 49330284 98660568 176766851 353533702 530300553 707067404 1060601106 1414134808 2121202212 4242404424