Search a number
-
+
4285402160 = 2451317376551
BaseRepresentation
bin1111111101101110…
…0000110000110000
3102001122201222121112
43333123200300300
532234030332120
61545123012452
7211124213564
oct37733406060
912048658545
104285402160
1118a9aa8086
129b720a128
13533aaac30
142c92076a4
151a134dbc5
hexff6e0c30

4285402160 has 160 divisors (see below), whose sum is σ = 11670003072. Its totient is φ = 1448755200.

The previous prime is 4285402157. The next prime is 4285402171. The reversal of 4285402160 is 612045824.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 650885 + ... + 657435.

Almost surely, 24285402160 is an apocalyptic number.

4285402160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4285402160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5835001536).

4285402160 is an abundant number, since it is smaller than the sum of its proper divisors (7384600912).

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

4285402160 is a wasteful number, since it uses less digits than its factorization.

4285402160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6631 (or 6625 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 4285402160 is about 65462.9831278716. The cubic root of 4285402160 is about 1624.2910877024.

Adding to 4285402160 its reverse (612045824), we get a palindrome (4897447984).

The spelling of 4285402160 in words is "four billion, two hundred eighty-five million, four hundred two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 34 37 40 52 65 68 74 80 85 104 130 136 148 170 185 208 221 260 272 296 340 370 442 481 520 592 629 680 740 884 962 1040 1105 1258 1360 1480 1768 1924 2210 2405 2516 2960 3145 3536 3848 4420 4810 5032 6290 6551 7696 8177 8840 9620 10064 12580 13102 16354 17680 19240 25160 26204 32708 32755 38480 40885 50320 52408 65416 65510 81770 85163 104816 111367 130832 131020 163540 170326 222734 242387 262040 327080 340652 425815 445468 484774 524080 556835 654160 681304 851630 890936 969548 1113670 1211935 1362608 1447771 1703260 1781872 1939096 2227340 2423870 2895542 3151031 3406520 3878192 4120579 4454680 4847740 5791084 6302062 6813040 7238855 8241158 8909360 9695480 11582168 12604124 14477710 15755155 16482316 19390960 20602895 23164336 25208248 28955420 31510310 32964632 41205790 50416496 53567527 57910840 63020620 65929264 82411580 107135054 115821680 126041240 164823160 214270108 252082480 267837635 329646320 428540216 535675270 857080432 1071350540 2142701080 4285402160