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4933386240 = 2153510037
BaseRepresentation
bin1001001100000110…
…11000000000000000
3110201211000222122220
410212003120000000
540100421324430
62133311331040
7233153043156
oct44603300000
913654028586
104933386240
11210184a112
12b58220a80
13608107473
1434b2c13d6
151dd199110
hex1260d8000

4933386240 has 128 divisors (see below), whose sum is σ = 15788167920. Its totient is φ = 1315438592.

The previous prime is 4933386217. The next prime is 4933386253. The reversal of 4933386240 is 426833394.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 4933386192 and 4933386201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 486502 + ... + 496538.

Almost surely, 24933386240 is an apocalyptic number.

4933386240 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 4933386240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7894083960).

4933386240 is an abundant number, since it is smaller than the sum of its proper divisors (10854781680).

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

4933386240 is an equidigital number, since it uses as much as digits as its factorization.

4933386240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10075 (or 10047 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 42.

The square root of 4933386240 is about 70238.0683105679. The cubic root of 4933386240 is about 1702.3481092970.

The spelling of 4933386240 in words is "four billion, nine hundred thirty-three million, three hundred eighty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 4096 5120 6144 7680 8192 10037 10240 12288 15360 16384 20074 20480 24576 30111 30720 32768 40148 40960 49152 50185 60222 61440 80296 81920 98304 100370 120444 122880 150555 160592 163840 200740 240888 245760 301110 321184 401480 481776 491520 602220 642368 802960 963552 1204440 1284736 1605920 1927104 2408880 2569472 3211840 3854208 4817760 5138944 6423680 7708416 9635520 10277888 12847360 15416832 19271040 20555776 25694720 30833664 38542080 41111552 51389440 61667328 77084160 82223104 102778880 123334656 154168320 164446208 205557760 246669312 308336640 328892416 411115520 493338624 616673280 822231040 986677248 1233346560 1644462080 2466693120 4933386240