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53303200 = 255266629
BaseRepresentation
bin1100101101010…
…1011110100000
310201022002020121
43023111132200
5102121200300
65142250024
71215032626
oct313253640
9121262217
1053303200
11280a7535
1215a26914
13b073a72
147117516
154a2d81a
hex32d57a0

53303200 has 36 divisors (see below), whose sum is σ = 130128390. Its totient is φ = 21320960.

The previous prime is 53303197. The next prime is 53303207. The reversal of 53303200 is 230335.

53303200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 32764176 + 20539024 = 5724^2 + 4532^2 .

It is a super-2 number, since 2×533032002 = 5682462260480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (53303207) 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 5 ways as a sum of consecutive naturals, for example, 32515 + ... + 34114.

Almost surely, 253303200 is an apocalyptic number.

53303200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

53303200 is an abundant number, since it is smaller than the sum of its proper divisors (76825190).

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

53303200 is a wasteful number, since it uses less digits than its factorization.

53303200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66649 (or 66636 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 16.

The square root of 53303200 is about 7300.9040536087. The cubic root of 53303200 is about 376.3435068162.

Adding to 53303200 its reverse (230335), we get a palindrome (53533535).

The spelling of 53303200 in words is "fifty-three million, three hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 66629 133258 266516 333145 533032 666290 1066064 1332580 1665725 2132128 2665160 3331450 5330320 6662900 10660640 13325800 26651600 53303200