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538030208 = 2741157653
BaseRepresentation
bin100000000100011…
…011000010000000
31101111101202200202
4200010123002000
52100213431313
6125215504332
716222116122
oct4004330200
91344352622
10538030208
11256782071
121302280a8
138760c191
1451655212
153237b558
hex2011b080

538030208 has 64 divisors (see below), whose sum is σ = 1106685720. Its totient is φ = 260382720.

The previous prime is 538030183. The next prime is 538030217. The reversal of 538030208 is 802030835.

It can be written as a sum of positive squares in 4 ways, for example, as 196224064 + 341806144 = 14008^2 + 18488^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 823610 + ... + 824262.

Almost surely, 2538030208 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 538030208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553342860).

538030208 is an abundant number, since it is smaller than the sum of its proper divisors (568655512).

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

538030208 is a wasteful number, since it uses less digits than its factorization.

538030208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 538030208 is about 23195.4781800247. The cubic root of 538030208 is about 813.3339233774. Note that the first 3 decimals are identical.

The spelling of 538030208 in words is "five hundred thirty-eight million, thirty thousand, two hundred eight".

Divisors: 1 2 4 8 16 32 41 64 82 128 157 164 314 328 628 653 656 1256 1306 1312 2512 2612 2624 5024 5224 5248 6437 10048 10448 12874 20096 20896 25748 26773 41792 51496 53546 83584 102521 102992 107092 205042 205984 214184 410084 411968 428368 820168 823936 856736 1640336 1713472 3280672 3426944 4203361 6561344 8406722 13122688 16813444 33626888 67253776 134507552 269015104 538030208