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4928303940 = 2235731337489
BaseRepresentation
bin1001001011011111…
…11111001101000100
3110201110110210001120
410211233333031010
540043121211230
62133010353540
7233061615030
oct44557771504
913643423046
104928303940
1120a999876a
12b5658b8b0
136070480a1
1434a75b1c0
151dc9e3310
hex125bff344

4928303940 has 96 divisors (see below), whose sum is σ = 15821379840. Its totient is φ = 1122840576.

The previous prime is 4928303867. The next prime is 4928303959. The reversal of 4928303940 is 493038294.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4928303892 and 4928303901.

It is an unprimeable number.

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, 112716 + ... + 150204.

It is an arithmetic number, because the mean of its divisors is an integer number (164806040).

Almost surely, 24928303940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4928303940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7910689920).

4928303940 is an abundant number, since it is smaller than the sum of its proper divisors (10893075900).

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

4928303940 is a wasteful number, since it uses less digits than its factorization.

4928303940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37821 (or 37819 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 4928303940 is about 70201.8798893591. The cubic root of 4928303940 is about 1701.7633306699.

The spelling of 4928303940 in words is "four billion, nine hundred twenty-eight million, three hundred three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 313 420 626 939 1252 1565 1878 2191 3130 3756 4382 4695 6260 6573 8764 9390 10955 13146 18780 21910 26292 32865 37489 43820 65730 74978 112467 131460 149956 187445 224934 262423 374890 449868 524846 562335 749780 787269 1049692 1124670 1312115 1574538 2249340 2624230 3149076 3936345 5248460 7872690 11734057 15745380 23468114 35202171 46936228 58670285 70404342 82138399 117340570 140808684 164276798 176010855 234681140 246415197 328553596 352021710 410691995 492830394 704043420 821383990 985660788 1232075985 1642767980 2464151970 4928303940