Search a number
-
+
4482301640 = 235232474507
BaseRepresentation
bin1000010110010101…
…00111111011001000
3102120101020111220212
410023022213323020
533134432123030
62020435140252
7216034635545
oct41312477310
912511214825
104482301640
1119a0162623
12a51144688
1356581abbb
1430741dbcc
151b3794595
hex10b2a7ec8

4482301640 has 96 divisors (see below), whose sum is σ = 10769431680. Its totient is φ = 1678106496.

The previous prime is 4482301627. The next prime is 4482301643. The reversal of 4482301640 is 461032844.

It is a junction number, because it is equal to n+sod(n) for n = 4482301597 and 4482301606.

It is not an unprimeable number, because it can be changed into a prime (4482301643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 992267 + ... + 996773.

It is an arithmetic number, because the mean of its divisors is an integer number (112181580).

Almost surely, 24482301640 is an apocalyptic number.

4482301640 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 4482301640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5384715840).

4482301640 is an abundant number, since it is smaller than the sum of its proper divisors (6287130040).

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

4482301640 is a wasteful number, since it uses less digits than its factorization.

4482301640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4611 (or 4584 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 4482301640 is about 66949.9935772962. The cubic root of 4482301640 is about 1648.7963845396.

The spelling of 4482301640 in words is "four billion, four hundred eighty-two million, three hundred one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 47 92 94 115 184 188 230 235 376 460 470 529 920 940 1058 1081 1880 2116 2162 2645 4232 4324 4507 5290 5405 8648 9014 10580 10810 18028 21160 21620 22535 24863 36056 43240 45070 49726 90140 99452 103661 124315 180280 198904 207322 211829 248630 414644 423658 497260 518305 829288 847316 994520 1036610 1059145 1694632 2073220 2118290 2384203 4146440 4236580 4768406 4872067 8473160 9536812 9744134 11921015 19073624 19488268 23842030 24360335 38976536 47684060 48720670 95368120 97441340 112057541 194882680 224115082 448230164 560287705 896460328 1120575410 2241150820 4482301640