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5225400 = 2332522903
BaseRepresentation
bin10011111011101110111000
3100211110220100
4103323232320
52314203100
6303555400
762262255
oct23735670
910743810
105225400
112a49a14
1218bbb60
13110c56b
149a042c
156d3400
hex4fbbb8

5225400 has 72 divisors (see below), whose sum is σ = 17554680. Its totient is φ = 1392960.

The previous prime is 5225383. The next prime is 5225401. The reversal of 5225400 is 45225.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5225401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 349 + ... + 3251.

It is an arithmetic number, because the mean of its divisors is an integer number (243815).

Almost surely, 25225400 is an apocalyptic number.

5225400 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 5225400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8777340).

5225400 is an abundant number, since it is smaller than the sum of its proper divisors (12329280).

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

5225400 is a wasteful number, since it uses less digits than its factorization.

5225400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2925 (or 2913 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 5225400 is about 2285.9133841858. The cubic root of 5225400 is about 173.5294460122.

It can be divided in two parts, 5225 and 400, that added together give a square (5625 = 752).

The spelling of 5225400 in words is "five million, two hundred twenty-five thousand, four 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 2903 5806 8709 11612 14515 17418 23224 26127 29030 34836 43545 52254 58060 69672 72575 87090 104508 116120 130635 145150 174180 209016 217725 261270 290300 348360 435450 522540 580600 653175 870900 1045080 1306350 1741800 2612700 5225400