Search a number
-
+
208902732 = 223177114423
BaseRepresentation
bin11000111001110…
…01101001001100
3112120002100200020
430130321221030
5411434341412
632421302140
75114433603
oct1434715114
9476070606
10208902732
11a7a13795
1259b64950
13343835ac
141da5ca3a
151351718c
hexc739a4c

208902732 has 48 divisors (see below), whose sum is σ = 523418112. Its totient is φ = 64610560.

The previous prime is 208902679. The next prime is 208902797. The reversal of 208902732 is 237209802.

208902732 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 208902693 and 208902702.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7273 + ... + 21695.

It is an arithmetic number, because the mean of its divisors is an integer number (10904544).

Almost surely, 2208902732 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 208902732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261709056).

208902732 is an abundant number, since it is smaller than the sum of its proper divisors (314515380).

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

208902732 is a wasteful number, since it uses less digits than its factorization.

208902732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14518 (or 14516 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 208902732 is about 14453.4678191775. The cubic root of 208902732 is about 593.3551368778.

The spelling of 208902732 in words is "two hundred eight million, nine hundred two thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 71 102 142 204 213 284 426 852 1207 2414 3621 4828 7242 14423 14484 28846 43269 57692 86538 173076 245191 490382 735573 980764 1024033 1471146 2048066 2942292 3072099 4096132 6144198 12288396 17408561 34817122 52225683 69634244 104451366 208902732