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5241444320 = 255712793659
BaseRepresentation
bin1001110000110101…
…00001011111100000
3111112021200221220102
410320122201133200
541213302204240
62224034201532
7243613353530
oct47032413740
914467627812
105241444320
11224a727772
1210234232a8
13656b96c58
1437a1914c0
1520a24a815
hex1386a17e0

5241444320 has 96 divisors (see below), whose sum is σ = 14166835200. Its totient is φ = 1795170816.

The previous prime is 5241444317. The next prime is 5241444323. The reversal of 5241444320 is 234441425.

It is an interprime number because it is at equal distance from previous prime (5241444317) and next prime (5241444323).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5241444323) 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, 1430651 + ... + 1434309.

It is an arithmetic number, because the mean of its divisors is an integer number (147571200).

Almost surely, 25241444320 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 5241444320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7083417600).

5241444320 is an abundant number, since it is smaller than the sum of its proper divisors (8925390880).

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

5241444320 is a wasteful number, since it uses less digits than its factorization.

5241444320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4960 (or 4952 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

The square root of 5241444320 is about 72397.8198566780. The cubic root of 5241444320 is about 1737.0686893810.

Adding to 5241444320 its reverse (234441425), we get a palindrome (5475885745).

The spelling of 5241444320 in words is "five billion, two hundred forty-one million, four hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 1279 2558 3659 5116 6395 7318 8953 10232 12790 14636 17906 18295 20464 25580 25613 29272 35812 36590 40928 44765 51160 51226 58544 71624 73180 89530 102320 102452 117088 128065 143248 146360 179060 204640 204904 256130 286496 292720 358120 409808 512260 585440 716240 819616 1024520 1432480 2049040 4098080 4679861 9359722 18719444 23399305 32759027 37438888 46798610 65518054 74877776 93597220 131036108 149755552 163795135 187194440 262072216 327590270 374388880 524144432 655180540 748777760 1048288864 1310361080 2620722160 5241444320