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5383579300 = 22521131715439
BaseRepresentation
bin1010000001110001…
…01110011010100100
3111220012011011102221
411000320232122210
542011144014200
62250112442124
7250260445321
oct50070563244
914805134387
105383579300
1123129878a0
121062b49344
1367a470ca8
14390dcdb48
1521797491a
hex140e2e6a4

5383579300 has 72 divisors (see below), whose sum is σ = 12785431680. Its totient is φ = 1951363200.

The previous prime is 5383579297. The next prime is 5383579307. The reversal of 5383579300 is 39753835.

It is not an unprimeable number, because it can be changed into a prime (5383579307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 340981 + ... + 356419.

It is an arithmetic number, because the mean of its divisors is an integer number (177575440).

Almost surely, 25383579300 is an apocalyptic number.

5383579300 is a gapful number since it is divisible by the number (50) 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 5383579300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6392715840).

5383579300 is an abundant number, since it is smaller than the sum of its proper divisors (7401852380).

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

5383579300 is a wasteful number, since it uses less digits than its factorization.

5383579300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15781 (or 15774 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 43.

The square root of 5383579300 is about 73372.8785042539. The cubic root of 5383579300 is about 1752.6305255573.

The spelling of 5383579300 in words is "five billion, three hundred eighty-three million, five hundred seventy-nine thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 317 550 634 1100 1268 1585 3170 3487 6340 6974 7925 13948 15439 15850 17435 30878 31700 34870 61756 69740 77195 87175 154390 169829 174350 308780 339658 348700 385975 679316 771950 849145 1543900 1698290 3396580 4245725 4894163 8491450 9788326 16982900 19576652 24470815 48941630 53835793 97883260 107671586 122354075 215343172 244708150 269178965 489416300 538357930 1076715860 1345894825 2691789650 5383579300