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208938444 = 2231121311069
BaseRepresentation
bin11000111010000…
…10010111001100
3112120011011122220
430131002113030
5411442012234
632422135340
75114642661
oct1435022714
9476134586
10208938444
11a7a38600
1259b81550
1334396920
141da6ba68
1513522a49
hexc7425cc

208938444 has 72 divisors (see below), whose sum is σ = 577145520. Its totient is φ = 58439040.

The previous prime is 208938439. The next prime is 208938467. The reversal of 208938444 is 444839802.

It is a super-2 number, since 2×2089384442 = 87310546762282272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 208938396 and 208938405.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 13342 + ... + 24410.

It is an arithmetic number, because the mean of its divisors is an integer number (8015910).

Almost surely, 2208938444 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 208938444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288572760).

208938444 is an abundant number, since it is smaller than the sum of its proper divisors (368207076).

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

208938444 is a wasteful number, since it uses less digits than its factorization.

208938444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11111 (or 11098 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 208938444 is about 14454.7031792424. The cubic root of 208938444 is about 593.3889463786.

The spelling of 208938444 in words is "two hundred eight million, nine hundred thirty-eight thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 121 132 143 156 242 286 363 429 484 572 726 858 1452 1573 1716 3146 4719 6292 9438 11069 18876 22138 33207 44276 66414 121759 132828 143897 243518 287794 365277 431691 487036 575588 730554 863382 1339349 1461108 1582867 1726764 2678698 3165734 4018047 4748601 5357396 6331468 8036094 9497202 16072188 17411537 18994404 34823074 52234611 69646148 104469222 208938444