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208291328 = 29789653
BaseRepresentation
bin11000110101001…
…00011000000000
3112111221021222122
430122210120000
5411310310303
632400223412
75106306230
oct1432443000
9474837878
10208291328
11a76363a3
125990ab68
13341cb20b
141d93dcc0
1513445e38
hexc6a4600

208291328 has 80 divisors (see below), whose sum is σ = 481710240. Its totient is φ = 88129536.

The previous prime is 208291297. The next prime is 208291333. The reversal of 208291328 is 823192802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 318650 + ... + 319302.

It is an arithmetic number, because the mean of its divisors is an integer number (6021378).

Almost surely, 2208291328 is an apocalyptic number.

208291328 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 208291328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240855120).

208291328 is an abundant number, since it is smaller than the sum of its proper divisors (273418912).

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

208291328 is an frugal number, since it uses more digits than its factorization.

208291328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 208291328 is about 14432.3015489561. The cubic root of 208291328 is about 592.7757058066.

The spelling of 208291328 in words is "two hundred eight million, two hundred ninety-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 89 112 128 178 224 256 356 448 512 623 653 712 896 1246 1306 1424 1792 2492 2612 2848 3584 4571 4984 5224 5696 9142 9968 10448 11392 18284 19936 20896 22784 36568 39872 41792 45568 58117 73136 79744 83584 116234 146272 159488 167168 232468 292544 318976 334336 406819 464936 585088 813638 929872 1170176 1627276 1859744 2340352 3254552 3719488 6509104 7438976 13018208 14877952 26036416 29755904 52072832 104145664 208291328