Search a number
-
+
5383826500 = 2253134717623
BaseRepresentation
bin1010000001110011…
…01010110001000100
3111220012121201112111
411000321222301010
542011224422000
62250122030404
7250262525113
oct50071526104
914805551474
105383826500
112313036598
121063048404
1367a529670
14391055c7a
152179c2cba
hex140e6ac44

5383826500 has 96 divisors (see below), whose sum is σ = 12932914176. Its totient is φ = 1945468800.

The previous prime is 5383826479. The next prime is 5383826501. The reversal of 5383826500 is 56283835.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5383826501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 296689 + ... + 314311.

It is an arithmetic number, because the mean of its divisors is an integer number (134717856).

Almost surely, 25383826500 is an apocalyptic number.

5383826500 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 5383826500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6466457088).

5383826500 is an abundant number, since it is smaller than the sum of its proper divisors (7549087676).

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

5383826500 is a wasteful number, since it uses less digits than its factorization.

5383826500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17702 (or 17690 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The square root of 5383826500 is about 73374.5630310668. The cubic root of 5383826500 is about 1752.6573505629.

The spelling of 5383826500 in words is "five billion, three hundred eighty-three million, eight hundred twenty-six thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 47 50 52 65 94 100 125 130 188 235 250 260 325 470 500 611 650 940 1175 1222 1300 1625 2350 2444 3055 3250 4700 5875 6110 6500 11750 12220 15275 17623 23500 30550 35246 61100 70492 76375 88115 152750 176230 229099 305500 352460 440575 458198 828281 881150 916396 1145495 1656562 1762300 2202875 2290990 3313124 4141405 4405750 4581980 5727475 8282810 8811500 10767653 11454950 16565620 20707025 21535306 22909900 28637375 41414050 43070612 53838265 57274750 82828100 103535125 107676530 114549500 207070250 215353060 269191325 414140500 538382650 1076765300 1345956625 2691913250 5383826500