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4848133248 = 27327601207
BaseRepresentation
bin1001000001111100…
…01010010010000000
3110111212121200112200
410200332022102000
534412110230443
62121024153200
7231066311160
oct44076122200
913455550480
104848133248
1120687102a2
12b33768800
135c35580ca
1433dc4c5a0
151d5958dd3
hex120f8a480

4848133248 has 96 divisors (see below), whose sum is σ = 15944036160. Its totient is φ = 1385178624.

The previous prime is 4848133229. The next prime is 4848133249. The reversal of 4848133248 is 8423318484.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4848133249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 292540 + ... + 308667.

It is an arithmetic number, because the mean of its divisors is an integer number (166083710).

Almost surely, 24848133248 is an apocalyptic number.

4848133248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4848133248 is an abundant number, since it is smaller than the sum of its proper divisors (11095902912).

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

4848133248 is a wasteful number, since it uses less digits than its factorization.

4848133248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601234 (or 601219 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 4848133248 is about 69628.5375977408. The cubic root of 4848133248 is about 1692.4850813129.

The spelling of 4848133248 in words is "four billion, eight hundred forty-eight million, one hundred thirty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 601207 1202414 1803621 2404828 3607242 4208449 4809656 5410863 7214484 8416898 9619312 10821726 12625347 14428968 16833796 19238624 21643452 25250694 28857936 33667592 37876041 38477248 43286904 50501388 57715872 67335184 75752082 76954496 86573808 101002776 115431744 134670368 151504164 173147616 202005552 230863488 269340736 303008328 346295232 404011104 538681472 606016656 692590464 808022208 1212033312 1616044416 2424066624 4848133248