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208728704 = 2731411283
BaseRepresentation
bin11000111000011…
…11001010000000
3112112202111221202
430130033022000
5411413304304
632413440332
75113110332
oct1434171200
9475674852
10208728704
11a7904a68
1259aa00a8
1334322312
141da15452
15134d081e
hexc70f280

208728704 has 64 divisors (see below), whose sum is σ = 440052480. Its totient is φ = 98457600.

The previous prime is 208728697. The next prime is 208728713. The reversal of 208728704 is 407827802.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162047 + ... + 163329.

It is an arithmetic number, because the mean of its divisors is an integer number (6875820).

Almost surely, 2208728704 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 208728704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220026240).

208728704 is an abundant number, since it is smaller than the sum of its proper divisors (231323776).

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

208728704 is a wasteful number, since it uses less digits than its factorization.

208728704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 38.

The square root of 208728704 is about 14447.4462795333. The cubic root of 208728704 is about 593.1903247760.

The spelling of 208728704 in words is "two hundred eight million, seven hundred twenty-eight thousand, seven hundred four".

Divisors: 1 2 4 8 16 31 32 41 62 64 82 124 128 164 248 328 496 656 992 1271 1283 1312 1984 2542 2566 2624 3968 5084 5132 5248 10168 10264 20336 20528 39773 40672 41056 52603 79546 81344 82112 105206 159092 162688 164224 210412 318184 420824 636368 841648 1272736 1630693 1683296 2545472 3261386 3366592 5090944 6522772 6733184 13045544 26091088 52182176 104364352 208728704