Search a number
-
+
208794996 = 22343717417
BaseRepresentation
bin11000111000111…
…11010101110100
3112112212212220000
430130133111310
5411422414441
632415111300
75113504524
oct1434372564
9475785800
10208794996
11a794a853
1259b12530
1334346547
141da31684
15134e52b6
hexc71f574

208794996 has 60 divisors (see below), whose sum is σ = 560615748. Its totient is φ = 67713408.

The previous prime is 208794991. The next prime is 208794997. The reversal of 208794996 is 699497802.

It can be written as a sum of positive squares in 2 ways, for example, as 192099600 + 16695396 = 13860^2 + 4086^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208794991) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3280 + ... + 20696.

Almost surely, 2208794996 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 208794996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280307874).

208794996 is an abundant number, since it is smaller than the sum of its proper divisors (351820752).

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

208794996 is a wasteful number, since it uses less digits than its factorization.

208794996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17470 (or 17459 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 208794996 is about 14449.7403436878. The cubic root of 208794996 is about 593.2531169873.

The spelling of 208794996 in words is "two hundred eight million, seven hundred ninety-four thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 324 333 444 666 999 1332 1998 2997 3996 5994 11988 17417 34834 52251 69668 104502 156753 209004 313506 470259 627012 644429 940518 1288858 1410777 1881036 1933287 2577716 2821554 3866574 5643108 5799861 7733148 11599722 17399583 23199444 34799166 52198749 69598332 104397498 208794996