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5230800 = 2432521453
BaseRepresentation
bin10011111101000011010000
3100211202022100
4103331003100
52314341200
6304040400
762314101
oct23750320
910752270
105230800
112a52a83
121903100
131111b63
149a23a8
156d4d00
hex4fd0d0

5230800 has 90 divisors (see below), whose sum is σ = 18164822. Its totient is φ = 1393920.

The previous prime is 5230789. The next prime is 5230829. The reversal of 5230800 is 80325.

5230800 is digitally balanced in base 5, 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 1498176 + 3732624 = 1224^2 + 1932^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×52308002 = 54722537280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2874 + ... + 4326.

Almost surely, 25230800 is an apocalyptic number.

5230800 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 5230800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9082411).

5230800 is an abundant number, since it is smaller than the sum of its proper divisors (12934022).

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

5230800 is a wasteful number, since it uses less digits than its factorization.

5230800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 5230800 is about 2287.0942263055. The cubic root of 5230800 is about 173.5892013358.

The spelling of 5230800 in words is "five million, two hundred thirty thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1453 1800 2906 3600 4359 5812 7265 8718 11624 13077 14530 17436 21795 23248 26154 29060 34872 36325 43590 52308 58120 65385 69744 72650 87180 104616 108975 116240 130770 145300 174360 209232 217950 261540 290600 326925 348720 435900 523080 581200 653850 871800 1046160 1307700 1743600 2615400 5230800