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5254000 = 24533771
BaseRepresentation
bin10100000010101101110000
3100212221010121
4110002231300
52321112000
6304340024
762441533
oct24025560
910787117
105254000
112a69454
121914614
13111c59b
149aaa1a
156dbb1a
hex502b70

5254000 has 80 divisors (see below), whose sum is σ = 13231296. Its totient is φ = 2016000.

The previous prime is 5253967. The next prime is 5254001. The reversal of 5254000 is 4525.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5254001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73965 + ... + 74035.

Almost surely, 25254000 is an apocalyptic number.

5254000 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 5254000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6615648).

5254000 is an abundant number, since it is smaller than the sum of its proper divisors (7977296).

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

5254000 is a wasteful number, since it uses less digits than its factorization.

5254000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 16.

The square root of 5254000 is about 2292.1605528409. The cubic root of 5254000 is about 173.8454610598.

Adding to 5254000 its reverse (4525), we get a palindrome (5258525).

The spelling of 5254000 in words is "five million, two hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 37 40 50 71 74 80 100 125 142 148 185 200 250 284 296 355 370 400 500 568 592 710 740 925 1000 1136 1420 1480 1775 1850 2000 2627 2840 2960 3550 3700 4625 5254 5680 7100 7400 8875 9250 10508 13135 14200 14800 17750 18500 21016 26270 28400 35500 37000 42032 52540 65675 71000 74000 105080 131350 142000 210160 262700 328375 525400 656750 1050800 1313500 2627000 5254000