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5230208 = 27291409
BaseRepresentation
bin10011111100111010000000
3100211201111102
4103330322000
52314331313
6304033532
762312264
oct23747200
910751442
105230208
112a52595
1219028a8
1311117c9
149a20a4
156d4a58
hex4fce80

5230208 has 32 divisors (see below), whose sum is σ = 10786500. Its totient is φ = 2523136.

The previous prime is 5230193. The next prime is 5230213. The reversal of 5230208 is 8020325.

It can be written as a sum of positive squares in 2 ways, for example, as 4700224 + 529984 = 2168^2 + 728^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 5230208.

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 3 ways as a sum of consecutive naturals, for example, 3008 + ... + 4416.

Almost surely, 25230208 is an apocalyptic number.

5230208 is a gapful number since it is divisible by the number (58) 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 5230208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5393250).

5230208 is an abundant number, since it is smaller than the sum of its proper divisors (5556292).

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

5230208 is a wasteful number, since it uses less digits than its factorization.

5230208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 5230208 is about 2286.9648007785. The cubic root of 5230208 is about 173.5826523896.

The spelling of 5230208 in words is "five million, two hundred thirty thousand, two hundred eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 928 1409 1856 2818 3712 5636 11272 22544 40861 45088 81722 90176 163444 180352 326888 653776 1307552 2615104 5230208