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4838220192 = 2531319210739
BaseRepresentation
bin1001000000110000…
…10110000110100000
3110111011222001101110
410200120112012200
534402041021232
62120031503320
7230616123141
oct44030260640
913434861343
104838220192
11206305a493
12b30387b40
135c1496cb0
1433c7cbac8
151d4b4bacc
hex1206161a0

4838220192 has 144 divisors (see below), whose sum is σ = 14436364320. Its totient is φ = 1410200064.

The previous prime is 4838220139. The next prime is 4838220203. The reversal of 4838220192 is 2910228384.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 4838220192.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 445159 + ... + 455897.

It is an arithmetic number, because the mean of its divisors is an integer number (100252530).

Almost surely, 24838220192 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 4838220192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7218182160).

4838220192 is an abundant number, since it is smaller than the sum of its proper divisors (9598144128).

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

4838220192 is a wasteful number, since it uses less digits than its factorization.

4838220192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10803 (or 10776 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 4838220192 is about 69557.3158769083. The cubic root of 4838220192 is about 1691.3307437050.

The spelling of 4838220192 in words is "four billion, eight hundred thirty-eight million, two hundred twenty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 76 78 96 104 114 152 156 208 228 247 304 312 361 416 456 494 608 624 722 741 912 988 1083 1248 1444 1482 1824 1976 2166 2888 2964 3952 4332 4693 5776 5928 7904 8664 9386 10739 11552 11856 14079 17328 18772 21478 23712 28158 32217 34656 37544 42956 56316 64434 75088 85912 112632 128868 139607 150176 171824 204041 225264 257736 279214 343648 408082 418821 450528 515472 558428 612123 816164 837642 1030944 1116856 1224246 1632328 1675284 2233712 2448492 2652533 3264656 3350568 3876779 4467424 4896984 5305066 6529312 6701136 7753558 7957599 9793968 10610132 11630337 13402272 15507116 15915198 19587936 21220264 23260674 31014232 31830396 42440528 46521348 50398127 62028464 63660792 84881056 93042696 100796254 124056928 127321584 151194381 186085392 201592508 254643168 302388762 372170784 403185016 604777524 806370032 1209555048 1612740064 2419110096 4838220192