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4948470840 = 2335172718951
BaseRepresentation
bin1001001101111001…
…11010110000111000
3110202212102100211210
410212330322300320
540113302031330
62135010523120
7233425210455
oct44674726070
913685370753
104948470840
11210a312425
12b612964a0
1360b289471
1434d2ca82c
151de6788b0
hex126f3ac38

4948470840 has 128 divisors (see below), whose sum is σ = 15778437120. Its totient is φ = 1237248000.

The previous prime is 4948470829. The next prime is 4948470841. The reversal of 4948470840 is 480748494.

It is a self number, because there is not a number n which added to its sum of digits gives 4948470840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4948470841) by changing a digit.

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, 548365 + ... + 557315.

It is an arithmetic number, because the mean of its divisors is an integer number (123269040).

Almost surely, 24948470840 is an apocalyptic number.

4948470840 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 4948470840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7889218560).

4948470840 is an abundant number, since it is smaller than the sum of its proper divisors (10829966280).

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

4948470840 is a wasteful number, since it uses less digits than its factorization.

4948470840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9253 (or 9249 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The square root of 4948470840 is about 70345.3682910254. The cubic root of 4948470840 is about 1704.0814090798.

The spelling of 4948470840 in words is "four billion, nine hundred forty-eight million, four hundred seventy thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 271 340 408 510 542 680 813 1020 1084 1355 1626 2040 2168 2710 3252 4065 4607 5420 6504 8130 8951 9214 10840 13821 16260 17902 18428 23035 26853 27642 32520 35804 36856 44755 46070 53706 55284 69105 71608 89510 92140 107412 110568 134265 138210 152167 179020 184280 214824 268530 276420 304334 358040 456501 537060 552840 608668 760835 913002 1074120 1217336 1521670 1826004 2282505 2425721 3043340 3652008 4565010 4851442 6086680 7277163 9130020 9702884 12128605 14554326 18260040 19405768 24257210 29108652 36385815 41237257 48514420 58217304 72771630 82474514 97028840 123711771 145543260 164949028 206186285 247423542 291086520 329898056 412372570 494847084 618558855 824745140 989694168 1237117710 1649490280 2474235420 4948470840