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208039936 = 212133907
BaseRepresentation
bin11000110011001…
…11000000000000
3112111110112010211
430121213000000
5411224234221
632351003504
75104211266
oct1431470000
9474415124
10208039936
11a7484535
1259809594
1334140970
141d8b6436
15133e66e1
hexc667000

208039936 has 52 divisors (see below), whose sum is σ = 448145992. Its totient is φ = 95993856.

The previous prime is 208039919. The next prime is 208039957. The reversal of 208039936 is 639930802.

It is a tau number, because it is divible by the number of its divisors (52).

It is a super-2 number, since 2×2080399362 = 86561229941768192, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 51295 + ... + 55201.

Almost surely, 2208039936 is an apocalyptic number.

208039936 is a gapful number since it is divisible by the number (26) 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 208039936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224072996).

208039936 is an abundant number, since it is smaller than the sum of its proper divisors (240106056).

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

208039936 is an equidigital number, since it uses as much as digits as its factorization.

208039936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3944 (or 3922 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 40.

The square root of 208039936 is about 14423.5895670946. The cubic root of 208039936 is about 592.5371312045.

The spelling of 208039936 in words is "two hundred eight million, thirty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1664 2048 3328 3907 4096 6656 7814 13312 15628 26624 31256 50791 53248 62512 101582 125024 203164 250048 406328 500096 812656 1000192 1625312 2000384 3250624 4000768 6501248 8001536 13002496 16003072 26004992 52009984 104019968 208039936