Search a number
-
+
4204124672 = 2911279859
BaseRepresentation
bin1111101010010101…
…1101101000000000
3101211222210122212012
43322211131220000
532102223442142
61533100552052
7206116320146
oct37245355000
911758718765
104204124672
111868134100
12993b52628
1351ccc1247
142bc4cb596
15199146882
hexfa95da00

4204124672 has 120 divisors (see below), whose sum is σ = 9360859200. Its totient is φ = 1884579840.

The previous prime is 4204124669. The next prime is 4204124681. The reversal of 4204124672 is 2764214024.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4893779 + ... + 4894637.

It is an arithmetic number, because the mean of its divisors is an integer number (78007160).

Almost surely, 24204124672 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 4204124672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4680429600).

4204124672 is an abundant number, since it is smaller than the sum of its proper divisors (5156734528).

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

4204124672 is an equidigital number, since it uses as much as digits as its factorization.

4204124672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 32.

The square root of 4204124672 is about 64839.2217103197. The cubic root of 4204124672 is about 1613.9566370282.

Adding to 4204124672 its reverse (2764214024), we get a palindrome (6968338696).

The spelling of 4204124672 in words is "four billion, two hundred four million, one hundred twenty-four thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 79 88 121 128 158 176 242 256 316 352 484 512 632 704 859 869 968 1264 1408 1718 1738 1936 2528 2816 3436 3476 3872 5056 5632 6872 6952 7744 9449 9559 10112 13744 13904 15488 18898 19118 20224 27488 27808 30976 37796 38236 40448 54976 55616 61952 67861 75592 76472 103939 109952 111232 135722 151184 152944 207878 219904 222464 271444 302368 305888 415756 439808 444928 542888 604736 611776 746471 831512 1085776 1209472 1223552 1492942 1663024 2171552 2418944 2447104 2985884 3326048 4343104 4837888 4894208 5971768 6652096 8211181 8686208 11943536 13304192 16422362 17372416 23887072 26608384 32844724 34744832 47774144 53216768 65689448 95548288 131378896 191096576 262757792 382193152 525515584 1051031168 2102062336 4204124672