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4204202430 = 2352367211431
BaseRepresentation
bin1111101010010111…
…0000100110111110
3101211222221121112010
43322211300212332
532102233434210
61533102352050
7206120062641
oct37245604676
911758847463
104204202430
11186818756a
12993b8b626
1352001a75c
142bc50ba58
1519915e920
hexfa9709be

4204202430 has 128 divisors (see below), whose sum is σ = 10761486336. Its totient is φ = 1048924800.

The previous prime is 4204202383. The next prime is 4204202461. The reversal of 4204202430 is 342024024.

It is a junction number, because it is equal to n+sod(n) for n = 4204202397 and 4204202406.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 9754315 + ... + 9754745.

It is an arithmetic number, because the mean of its divisors is an integer number (84074112).

Almost surely, 24204202430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4204202430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5380743168).

4204202430 is an abundant number, since it is smaller than the sum of its proper divisors (6557283906).

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

4204202430 is a wasteful number, since it uses less digits than its factorization.

4204202430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742.

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 4204202430 is about 64839.8213291801. The cubic root of 4204202430 is about 1613.9665873568.

Adding to 4204202430 its reverse (342024024), we get a palindrome (4546226454).

The spelling of 4204202430 in words is "four billion, two hundred four million, two hundred two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 67 69 115 134 138 201 211 230 335 345 402 422 431 633 670 690 862 1005 1055 1266 1293 1541 2010 2110 2155 2586 3082 3165 4310 4623 4853 6330 6465 7705 9246 9706 9913 12930 14137 14559 15410 19826 23115 24265 28274 28877 29118 29739 42411 46230 48530 49565 57754 59478 70685 72795 84822 86631 90941 99130 141370 144385 145590 148695 173262 181882 212055 272823 288770 297390 325151 424110 433155 454705 545646 650302 664171 866310 909410 975453 1328342 1364115 1625755 1950906 1992513 2091643 2728230 3251510 3320855 3985026 4183286 4877265 6093047 6274929 6641710 9754530 9962565 10458215 12186094 12549858 18279141 19925130 20916430 30465235 31374645 36558282 60930470 62749290 91395705 140140081 182791410 280280162 420420243 700700405 840840486 1401400810 2102101215 4204202430