Search a number
-
+
4125025710 = 2335135919919
BaseRepresentation
bin1111010111011110…
…1110010110101110
3101122110222000111000
43311313232112232
531422001310320
61521153341130
7204136066011
oct36567562656
911573860430
104125025710
111827518963
129715677a6
135097b8020
142b1bbb378
1519221ec90
hexf5dee5ae

4125025710 has 128 divisors (see below), whose sum is σ = 12047616000. Its totient is φ = 998130816.

The previous prime is 4125025661. The next prime is 4125025711. The reversal of 4125025710 is 175205214.

4125025710 is a `hidden beast` number, since 41 + 2 + 50 + 2 + 571 + 0 = 666.

It is a super-2 number, since 2×41250257102 = 34031674216322008200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4125025711) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 197131 + ... + 217049.

It is an arithmetic number, because the mean of its divisors is an integer number (94122000).

Almost surely, 24125025710 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4125025710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6023808000).

4125025710 is an abundant number, since it is smaller than the sum of its proper divisors (7922590290).

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

4125025710 is a wasteful number, since it uses less digits than its factorization.

4125025710 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20007 (or 20001 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 4125025710 is about 64226.3630450923. The cubic root of 4125025710 is about 1603.7704969388.

The spelling of 4125025710 in words is "four billion, one hundred twenty-five million, twenty-five thousand, seven hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 59 65 78 90 117 118 130 135 177 195 234 270 295 351 354 390 531 585 590 702 767 885 1062 1170 1534 1593 1755 1770 2301 2655 3186 3510 3835 4602 5310 6903 7670 7965 11505 13806 15930 19919 20709 23010 34515 39838 41418 59757 69030 99595 103545 119514 179271 199190 207090 258947 298785 358542 517894 537813 597570 776841 896355 1075626 1175221 1294735 1553682 1792710 2330523 2350442 2589470 2689065 3525663 3884205 4661046 5378130 5876105 6991569 7051326 7768410 10576989 11652615 11752210 13983138 15277873 17628315 21153978 23305230 30555746 31730967 34957845 35256630 45833619 52884945 63461934 69915690 76389365 91667238 105769890 137500857 152778730 158654835 229168095 275001714 317309670 412502571 458336190 687504285 825005142 1375008570 2062512855 4125025710