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5209344 = 283271719
BaseRepresentation
bin10011110111110100000000
3100210122212200
4103313310000
52313144334
6303353200
762164410
oct23676400
910718780
105209344
112a38948
1218b2800
13110516a
14998640
156cd799
hex4f7d00

5209344 has 216 divisors, whose sum is σ = 19131840. Its totient is φ = 1327104.

The previous prime is 5209319. The next prime is 5209381. The reversal of 5209344 is 4439025.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 274167 + ... + 274185.

Almost surely, 25209344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5209344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9565920).

5209344 is an abundant number, since it is smaller than the sum of its proper divisors (13922496).

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

5209344 is a wasteful number, since it uses less digits than its factorization.

5209344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 5209344 is about 2282.3987381700. The cubic root of 5209344 is about 173.3515299766.

The spelling of 5209344 in words is "five million, two hundred nine thousand, three hundred forty-four".