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5250600 = 2332522917
BaseRepresentation
bin10100000001111000101000
3100212202110200
4110001320220
52321004400
6304312200
762425605
oct24017050
910782420
105250600
112a66943
121912660
13111ab84
149a96ac
156dab00
hex501e28

5250600 has 72 divisors (see below), whose sum is σ = 17639310. Its totient is φ = 1399680.

The previous prime is 5250571. The next prime is 5250617. The reversal of 5250600 is 60525.

It can be written as a sum of positive squares in 3 ways, for example, as 5116644 + 133956 = 2262^2 + 366^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 342 + ... + 3258.

Almost surely, 25250600 is an apocalyptic number.

5250600 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 5250600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8819655).

5250600 is an abundant number, since it is smaller than the sum of its proper divisors (12388710).

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

5250600 is a wasteful number, since it uses less digits than its factorization.

5250600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2939 (or 2927 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 5250600 is about 2291.4187744714. The cubic root of 5250600 is about 173.8079529952.

The spelling of 5250600 in words is "five million, two hundred fifty thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 2917 5834 8751 11668 14585 17502 23336 26253 29170 35004 43755 52506 58340 70008 72925 87510 105012 116680 131265 145850 175020 210024 218775 262530 291700 350040 437550 525060 583400 656325 875100 1050120 1312650 1750200 2625300 5250600