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4204331424 = 25325325197
BaseRepresentation
bin1111101010011001…
…0000000110100000
3101212000012011110200
43322212100012200
532102302101144
61533105225200
7206121141006
oct37246200640
911760164420
104204331424
111868265477
12994032200
13520064397
142bc542a76
15199187c69
hexfa9901a0

4204331424 has 108 divisors (see below), whose sum is σ = 12188254806. Its totient is φ = 1374736896.

The previous prime is 4204331377. The next prime is 4204331459. The reversal of 4204331424 is 4241334024.

It is a happy number.

4204331424 is a `hidden beast` number, since 4 + 204 + 3 + 31 + 424 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 4061767824 + 142563600 = 63732^2 + 11940^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 806394 + ... + 811590.

Almost surely, 24204331424 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 4204331424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6094127403).

4204331424 is an abundant number, since it is smaller than the sum of its proper divisors (7983923382).

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

4204331424 is a wasteful number, since it uses less digits than its factorization.

4204331424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5319 (or 5255 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 4204331424 is about 64840.8160343468. The cubic root of 4204331424 is about 1613.9830938469.

Adding to 4204331424 its reverse (4241334024), we get a palindrome (8445665448).

The spelling of 4204331424 in words is "four billion, two hundred four million, three hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 212 288 318 424 477 636 848 954 1272 1696 1908 2544 2809 3816 5088 5197 5618 7632 8427 10394 11236 15264 15591 16854 20788 22472 25281 31182 33708 41576 44944 46773 50562 62364 67416 83152 89888 93546 101124 124728 134832 166304 187092 202248 249456 269664 275441 374184 404496 498912 550882 748368 808992 826323 1101764 1496736 1652646 2203528 2478969 3305292 4407056 4957938 6610584 8814112 9915876 13221168 14598373 19831752 26442336 29196746 39663504 43795119 58393492 79327008 87590238 116786984 131385357 175180476 233573968 262770714 350360952 467147936 525541428 700721904 1051082856 1401443808 2102165712 4204331424