Search a number
-
+
4804308720 = 243357131327
BaseRepresentation
bin1000111100101101…
…11110111011110000
3110101211011011121000
410132112332323300
534314400334340
62112421002000
7230024643651
oct43626767360
913354134530
104804308720
1120459a8282
12b20b53300
135b7452833
143380c1528
151d1b9dd30
hex11e5beef0

4804308720 has 160 divisors (see below), whose sum is σ = 16781783040. Its totient is φ = 1263064320.

The previous prime is 4804308689. The next prime is 4804308737. The reversal of 4804308720 is 278034084.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137697 + ... + 169023.

It is an arithmetic number, because the mean of its divisors is an integer number (104886144).

Almost surely, 24804308720 is an apocalyptic number.

4804308720 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 4804308720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8390891520).

4804308720 is an abundant number, since it is smaller than the sum of its proper divisors (11977474320).

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

4804308720 is a wasteful number, since it uses less digits than its factorization.

4804308720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31420 (or 31408 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 4804308720 is about 69313.1208358129. The cubic root of 4804308720 is about 1687.3699178740.

The spelling of 4804308720 in words is "four billion, eight hundred four million, three hundred eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 71 72 80 90 108 120 135 142 144 180 213 216 240 270 284 355 360 426 432 540 568 639 710 720 852 1065 1080 1136 1278 1420 1704 1917 2130 2160 2556 2840 3195 3408 3834 4260 5112 5680 6390 7668 8520 9585 10224 12780 15336 17040 19170 25560 30672 31327 38340 51120 62654 76680 93981 125308 153360 156635 187962 250616 281943 313270 375924 469905 501232 563886 626540 751848 845829 939810 1127772 1253080 1409715 1503696 1691658 1879620 2224217 2255544 2506160 2819430 3383316 3759240 4229145 4448434 4511088 5638860 6672651 6766632 7518480 8458290 8896868 11121085 11277720 13345302 13533264 16916580 17793736 20017953 22242170 22555440 26690604 33363255 33833160 35587472 40035906 44484340 53381208 60053859 66726510 67666320 80071812 88968680 100089765 106762416 120107718 133453020 160143624 177937360 200179530 240215436 266906040 300269295 320287248 400359060 480430872 533812080 600538590 800718120 960861744 1201077180 1601436240 2402154360 4804308720