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5428900 = 22522332
BaseRepresentation
bin10100101101011010100100
3101012211001101
4110231122210
52342211100
6312205444
764100461
oct24553244
911184041
105428900
1130788a4
121999884
131181089
14a14668
1572386a
hex52d6a4

5428900 has 27 divisors (see below), whose sum is σ = 11831491. Its totient is φ = 2162240.

The previous prime is 5428883. The next prime is 5428901. The reversal of 5428900 is 98245.

It is a happy number.

The square root of 5428900 is 2330.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1069156 + 4359744 = 1034^2 + 2088^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5428901) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 23184 + ... + 23416.

Almost surely, 25428900 is an apocalyptic number.

5428900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5428900 is the 2330-th square number.

It is an amenable number.

5428900 is an abundant number, since it is smaller than the sum of its proper divisors (6402591).

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

5428900 is a wasteful number, since it uses less digits than its factorization.

5428900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The cubic root of 5428900 is about 175.7534858042.

It can be divided in two parts, 5428 and 900, that added together give a triangular number (6328 = T112).

The spelling of 5428900 in words is "five million, four hundred twenty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 233 466 932 1165 2330 4660 5825 11650 23300 54289 108578 217156 271445 542890 1085780 1357225 2714450 5428900