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208134248 = 237311131061
BaseRepresentation
bin11000110011111…
…10000001101000
3112111122022111212
430121332001220
5411240243443
632353012252
75105053250
oct1431760150
9474568455
10208134248
11a7539383
1259854088
133417487a
141d8dc960
1513414618
hexc67e068

208134248 has 64 divisors (see below), whose sum is σ = 464901120. Its totient is φ = 85478400.

The previous prime is 208134239. The next prime is 208134259. The reversal of 208134248 is 842431802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195638 + ... + 196698.

It is an arithmetic number, because the mean of its divisors is an integer number (7264080).

Almost surely, 2208134248 is an apocalyptic number.

208134248 is a gapful number since it is divisible by the number (28) 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 208134248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232450560).

208134248 is an abundant number, since it is smaller than the sum of its proper divisors (256766872).

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

208134248 is a wasteful number, since it uses less digits than its factorization.

208134248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 208134248 is about 14426.8585631107. The cubic root of 208134248 is about 592.6266571556.

The spelling of 208134248 in words is "two hundred eight million, one hundred thirty-four thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 28 31 56 62 113 124 217 226 248 434 452 791 868 904 1061 1582 1736 2122 3164 3503 4244 6328 7006 7427 8488 14012 14854 24521 28024 29708 32891 49042 59416 65782 98084 119893 131564 196168 230237 239786 263128 460474 479572 839251 920948 959144 1678502 1841896 3357004 3716683 6714008 7433366 14866732 26016781 29733464 52033562 104067124 208134248