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81800208 = 24327211593
BaseRepresentation
bin1001110000000…
…10110000010000
312200220212210100
410320002300100
5131420101313
612041132400
72012201400
oct470026020
9180825710
1081800208
11421a0786
122348a100
1313c408b9
14ac14800
1572ac173
hex4e02c10

81800208 has 90 divisors (see below), whose sum is σ = 266325774. Its totient is φ = 23369472.

The previous prime is 81800119. The next prime is 81800221. The reversal of 81800208 is 80200818.

It can be written as a sum of positive squares in only one way, i.e., 80784144 + 1016064 = 8988^2 + 1008^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1260 + ... + 12852.

Almost surely, 281800208 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 81800208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133162887).

81800208 is an abundant number, since it is smaller than the sum of its proper divisors (184525566).

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

81800208 is a wasteful number, since it uses less digits than its factorization.

81800208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11621 (or 11605 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 81800208 is about 9044.3467425790. The cubic root of 81800208 is about 434.0950190842.

The spelling of 81800208 in words is "eighty-one million, eight hundred thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 11593 23186 34779 46372 69558 81151 92744 104337 139116 162302 185488 208674 243453 278232 324604 417348 486906 556464 568057 649208 730359 834696 973812 1136114 1298416 1460718 1669392 1704171 1947624 2272228 2921436 3408342 3895248 4544456 5112513 5842872 6816684 9088912 10225026 11685744 13633368 20450052 27266736 40900104 81800208