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5290000 = 2454232
BaseRepresentation
bin10100001011100000010000
3100221202111221
4110023200100
52323240000
6305214424
762651512
oct24134020
910852457
105290000
112a93501
121931414
131132aa1
149b9bb2
156e761a
hex50b810

5290000 has 75 divisors (see below), whose sum is σ = 13388683. Its totient is φ = 2024000.

The previous prime is 5289979. The next prime is 5290007. The reversal of 5290000 is 925.

The square root of 5290000 is 2300.

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

It can be written as a sum of positive squares in 2 ways, for example, as 414736 + 4875264 = 644^2 + 2208^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5290007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 229989 + ... + 230011.

Almost surely, 25290000 is an apocalyptic number.

5290000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5290000 is the 2300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5290000

5290000 is an abundant number, since it is smaller than the sum of its proper divisors (8098683).

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

5290000 is an equidigital number, since it uses as much as digits as its factorization.

5290000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The cubic root of 5290000 is about 174.2416161579.

Multiplying 5290000 by its sum of digits (16), we get a square (84640000 = 92002).

5290000 divided by its sum of digits (16) gives a square (330625 = 5752).

Adding to 5290000 its reverse (925), we get a palindrome (5290925).

The spelling of 5290000 in words is "five million, two hundred ninety thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 368 400 460 500 529 575 625 920 1000 1058 1150 1250 1840 2000 2116 2300 2500 2645 2875 4232 4600 5000 5290 5750 8464 9200 10000 10580 11500 13225 14375 21160 23000 26450 28750 42320 46000 52900 57500 66125 105800 115000 132250 211600 230000 264500 330625 529000 661250 1058000 1322500 2645000 5290000