Search a number
-
+
208948380 = 223514292437
BaseRepresentation
bin11000111010001…
…00110010011100
3112120011200021220
430131010302130
5411442322010
632422253340
75115013644
oct1435046234
9476150256
10208948380
11a7a45013
1259b87250
133439b2c4
141da71524
1513525970
hexc744c9c

208948380 has 48 divisors (see below), whose sum is σ = 585705120. Its totient is φ = 55657728.

The previous prime is 208948373. The next prime is 208948381. The reversal of 208948380 is 83849802.

It is a happy number.

208948380 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208948381) by changing a digit.

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, 84522 + ... + 86958.

It is an arithmetic number, because the mean of its divisors is an integer number (12202190).

Almost surely, 2208948380 is an apocalyptic number.

208948380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

208948380 is an abundant number, since it is smaller than the sum of its proper divisors (376756740).

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

208948380 is a wasteful number, since it uses less digits than its factorization.

208948380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3878 (or 3876 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 208948380 is about 14455.0468695193. The cubic root of 208948380 is about 593.3983523692.

The spelling of 208948380 in words is "two hundred eight million, nine hundred forty-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1429 2437 2858 4287 4874 5716 7145 7311 8574 9748 12185 14290 14622 17148 21435 24370 28580 29244 36555 42870 48740 73110 85740 146220 3482473 6964946 10447419 13929892 17412365 20894838 34824730 41789676 52237095 69649460 104474190 208948380