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209893056 = 2638313171
BaseRepresentation
bin11001000001010…
…11011011000000
3112121221200010220
430200223123000
5412213034211
632454423040
75126030052
oct1440533300
9477850126
10209893056
11a852a83a
125a361a80
133463c299
141dc398d2
1513660806
hexc82b6c0

209893056 has 56 divisors (see below), whose sum is σ = 562075584. Its totient is φ = 69116160.

The previous prime is 209893051. The next prime is 209893081. The reversal of 209893056 is 650398902.

It is a junction number, because it is equal to n+sod(n) for n = 209892999 and 209893017.

It is not an unprimeable number, because it can be changed into a prime (209893051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9351 + ... + 22521.

It is an arithmetic number, because the mean of its divisors is an integer number (10037064).

Almost surely, 2209893056 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 209893056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281037792).

209893056 is an abundant number, since it is smaller than the sum of its proper divisors (352182528).

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

209893056 is a wasteful number, since it uses less digits than its factorization.

209893056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13269 (or 13259 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 209893056 is about 14487.6863577315. The cubic root of 209893056 is about 594.2912786532.

The spelling of 209893056 in words is "two hundred nine million, eight hundred ninety-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 166 192 249 332 498 664 996 1328 1992 2656 3984 5312 7968 13171 15936 26342 39513 52684 79026 105368 158052 210736 316104 421472 632208 842944 1093193 1264416 2186386 2528832 3279579 4372772 6559158 8745544 13118316 17491088 26236632 34982176 52473264 69964352 104946528 209893056