Search a number
-
+
209383248 = 24329349431
BaseRepresentation
bin11000111101011…
…10111101010000
3112120222202211010
430132232331100
5412100230443
632435450520
75121504534
oct1436567520
9476882733
10209383248
11a8211808
125a156a40
13344c1219
141db45bc4
15135ae733
hexc7aef50

209383248 has 80 divisors (see below), whose sum is σ = 562464000. Its totient is φ = 67038720.

The previous prime is 209383247. The next prime is 209383253. The reversal of 209383248 is 842383902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (209383243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 485593 + ... + 486023.

It is an arithmetic number, because the mean of its divisors is an integer number (7030800).

Almost surely, 2209383248 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 209383248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281232000).

209383248 is an abundant number, since it is smaller than the sum of its proper divisors (353080752).

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

209383248 is a wasteful number, since it uses less digits than its factorization.

209383248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 209383248 is about 14470.0811331519. The cubic root of 209383248 is about 593.8097317119.

The spelling of 209383248 in words is "two hundred nine million, three hundred eighty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 349 431 464 696 698 862 1047 1293 1392 1396 1724 2094 2586 2792 3448 4188 5172 5584 6896 8376 10121 10344 12499 16752 20242 20688 24998 30363 37497 40484 49996 60726 74994 80968 99992 121452 149988 150419 161936 199984 242904 299976 300838 451257 485808 599952 601676 902514 1203352 1805028 2406704 3610056 4362151 7220112 8724302 13086453 17448604 26172906 34897208 52345812 69794416 104691624 209383248