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5753285300 = 2252744318553
BaseRepresentation
bin1010101101110110…
…00010101010110100
3112211221211011201202
411112323002222310
543240320112200
62350520512032
7262400055350
oct52673025264
915757734652
105753285300
112492641444
12114691b618
13708c36839
143c814a460
1523a1521d5
hex156ec2ab4

5753285300 has 72 divisors (see below), whose sum is σ = 14301126336. Its totient is φ = 1967996160.

The previous prime is 5753285269. The next prime is 5753285303. The reversal of 5753285300 is 35823575.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5753285303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 300824 + ... + 319376.

Almost surely, 25753285300 is an apocalyptic number.

5753285300 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 5753285300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7150563168).

5753285300 is an abundant number, since it is smaller than the sum of its proper divisors (8547841036).

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

5753285300 is a wasteful number, since it uses less digits than its factorization.

5753285300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19017 (or 19010 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 38.

The square root of 5753285300 is about 75850.4139738209. The cubic root of 5753285300 is about 1791.8650701745.

The spelling of 5753285300 in words is "five billion, seven hundred fifty-three million, two hundred eighty-five thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 443 700 886 1772 2215 3101 4430 6202 8860 11075 12404 15505 18553 22150 31010 37106 44300 62020 74212 77525 92765 129871 155050 185530 259742 310100 371060 463825 519484 649355 927650 1298710 1855300 2597420 3246775 6493550 8218979 12987100 16437958 32875916 41094895 57532853 82189790 115065706 164379580 205474475 230131412 287664265 410948950 575328530 821897900 1150657060 1438321325 2876642650 5753285300