Search a number
-
+
4285461460 = 2257592771873
BaseRepresentation
bin1111111101101110…
…1111001111010100
3102001122211222221211
43333123233033110
532234034231320
61545124151204
7211124551510
oct37733571724
912048758854
104285461460
1118aa038695
129b7238504
13533acbc17
142c9221140
151a136155a
hexff6ef3d4

4285461460 has 96 divisors (see below), whose sum is σ = 10502795520. Its totient is φ = 1438414848.

The previous prime is 4285461449. The next prime is 4285461463. The reversal of 4285461460 is 641645824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4285461463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2287084 + ... + 2288956.

It is an arithmetic number, because the mean of its divisors is an integer number (109404120).

Almost surely, 24285461460 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 4285461460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5251397760).

4285461460 is an abundant number, since it is smaller than the sum of its proper divisors (6217334060).

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

4285461460 is a wasteful number, since it uses less digits than its factorization.

4285461460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2225 (or 2223 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The square root of 4285461460 is about 65463.4360540294. The cubic root of 4285461460 is about 1624.2985798050.

The spelling of 4285461460 in words is "four billion, two hundred eighty-five million, four hundred sixty-one thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 59 70 118 140 236 277 295 413 554 590 826 1108 1180 1385 1652 1873 1939 2065 2770 3746 3878 4130 5540 7492 7756 8260 9365 9695 13111 16343 18730 19390 26222 32686 37460 38780 52444 65372 65555 81715 110507 114401 131110 163430 221014 228802 262220 326860 442028 457604 518821 552535 572005 773549 1037642 1105070 1144010 1547098 2075284 2210140 2288020 2594105 3094196 3631747 3867745 5188210 7263494 7735490 10376420 14526988 15470980 18158735 30610439 36317470 61220878 72634940 122441756 153052195 214273073 306104390 428546146 612208780 857092292 1071365365 2142730730 4285461460