Search a number
-
+
208982416 = 24235031129
BaseRepresentation
bin11000111010011…
…01000110010000
3112120020101222111
430131031012100
5411444414131
632423115104
75115215116
oct1435150620
9476211874
10208982416
11a7a68645
1259ba2a94
13343b0946
141da7dab6
1513530ab1
hexc74d190

208982416 has 40 divisors (see below), whose sum is σ = 423722880. Its totient is φ = 99661056.

The previous prime is 208982399. The next prime is 208982461. The reversal of 208982416 is 614289802.

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, 184540 + ... + 185668.

It is an arithmetic number, because the mean of its divisors is an integer number (10593072).

Almost surely, 2208982416 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 208982416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211861440).

208982416 is an abundant number, since it is smaller than the sum of its proper divisors (214740464).

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

208982416 is a wasteful number, since it uses less digits than its factorization.

208982416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 208982416 is about 14456.2241266522. The cubic root of 208982416 is about 593.4305705496.

The spelling of 208982416 in words is "two hundred eight million, nine hundred eighty-two thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 23 46 92 184 368 503 1006 1129 2012 2258 4024 4516 8048 9032 11569 18064 23138 25967 46276 51934 92552 103868 185104 207736 415472 567887 1135774 2271548 4543096 9086192 13061401 26122802 52245604 104491208 208982416