Search a number
-
+
4898354640 = 2435315911159
BaseRepresentation
bin1001000111111011…
…01111010111010000
3110122101010012100020
410203331233113100
540012434322030
62130020423440
7232246220214
oct44375572720
913571105306
104898354640
112093aa2383
12b48547b80
13600a901ca
143467a2944
151da079510
hex123f6f5d0

4898354640 has 160 divisors (see below), whose sum is σ = 15941836800. Its totient is φ = 1242554880.

The previous prime is 4898354569. The next prime is 4898354647. The reversal of 4898354640 is 464538984.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4898354647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 433381 + ... + 444539.

It is an arithmetic number, because the mean of its divisors is an integer number (99636480).

Almost surely, 24898354640 is an apocalyptic number.

4898354640 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 4898354640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7970918400).

4898354640 is an abundant number, since it is smaller than the sum of its proper divisors (11043482160).

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

4898354640 is a wasteful number, since it uses less digits than its factorization.

4898354640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11265 (or 11259 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The square root of 4898354640 is about 69988.2464418134. The cubic root of 4898354640 is about 1698.3091192085.

The spelling of 4898354640 in words is "four billion, eight hundred ninety-eight million, three hundred fifty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 59 60 62 80 93 118 120 124 155 177 186 236 240 248 295 310 354 372 465 472 496 590 620 708 744 885 930 944 1180 1240 1416 1488 1770 1829 1860 2360 2480 2832 3540 3658 3720 4720 5487 7080 7316 7440 9145 10974 11159 14160 14632 18290 21948 22318 27435 29264 33477 36580 43896 44636 54870 55795 66954 73160 87792 89272 109740 111590 133908 146320 167385 178544 219480 223180 267816 334770 345929 438960 446360 535632 658381 669540 691858 892720 1037787 1316762 1339080 1383716 1729645 1975143 2075574 2633524 2678160 2767432 3291905 3459290 3950286 4151148 5188935 5267048 5534864 6583810 6918580 7900572 8302296 9875715 10377870 10534096 13167620 13837160 15801144 16604592 19751430 20409811 20755740 26335240 27674320 31602288 39502860 40819622 41511480 52670480 61229433 79005720 81639244 83022960 102049055 122458866 158011440 163278488 204098110 244917732 306147165 326556976 408196220 489835464 612294330 816392440 979670928 1224588660 1632784880 2449177320 4898354640