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4379248384 = 287353941
BaseRepresentation
bin1000001010000011…
…00000011100000000
3102022012022212102121
410011001200130000
532432041422014
62002314254024
7213343666000
oct40501403400
912265285377
104379248384
111947a76145
12a22727314
1354a378744
142d7876000
151a96da124
hex105060700

4379248384 has 144 divisors (see below), whose sum is σ = 10397419200. Its totient is φ = 1839452160.

The previous prime is 4379248381. The next prime is 4379248409. The reversal of 4379248384 is 4838429734.

It is a super-2 number, since 2×43792483842 = 38355632817533222912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4379248381) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4653354 + ... + 4654294.

It is an arithmetic number, because the mean of its divisors is an integer number (72204300).

Almost surely, 24379248384 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 4379248384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5198709600).

4379248384 is an abundant number, since it is smaller than the sum of its proper divisors (6018170816).

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

4379248384 is an frugal number, since it uses more digits than its factorization.

4379248384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1003 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 52.

The square root of 4379248384 is about 66175.8897484575. The cubic root of 4379248384 is about 1636.0623836662.

The spelling of 4379248384 in words is "four billion, three hundred seventy-nine million, two hundred forty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 53 56 64 98 106 112 128 196 212 224 256 343 371 392 424 448 686 742 784 848 896 941 1372 1484 1568 1696 1792 1882 2597 2744 2968 3136 3392 3764 5194 5488 5936 6272 6587 6784 7528 10388 10976 11872 12544 13174 13568 15056 18179 20776 21952 23744 26348 30112 36358 41552 43904 46109 47488 49873 52696 60224 72716 83104 87808 92218 94976 99746 105392 120448 145432 166208 184436 199492 210784 240896 290864 322763 332416 349111 368872 398984 421568 581728 645526 664832 698222 737744 797968 843136 1163456 1291052 1396444 1475488 1595936 1686272 2326912 2443777 2582104 2792888 2950976 3191872 4653824 4887554 5164208 5585776 5901952 6383744 9775108 10328416 11171552 11803904 12767488 17106439 19550216 20656832 22343104 34212878 39100432 41313664 44686208 68425756 78200864 82627328 89372416 136851512 156401728 273703024 312803456 547406048 625606912 1094812096 2189624192 4379248384