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266505248 = 25194110691
BaseRepresentation
bin11111110001010…
…00110000100000
3200120110212110202
433320220300200
51021211131443
642240044332
76414154142
oct1770506040
9616425422
10266505248
11127487379
12753036a8
13432a1219
1427574c92
15185e47b8
hexfe28c20

266505248 has 48 divisors (see below), whose sum is σ = 565820640. Its totient is φ = 123148800.

The previous prime is 266505247. The next prime is 266505251. The reversal of 266505248 is 842505662.

266505248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (266505241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19583 + ... + 30273.

It is an arithmetic number, because the mean of its divisors is an integer number (11787930).

Almost surely, 2266505248 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 266505248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282910320).

266505248 is an abundant number, since it is smaller than the sum of its proper divisors (299315392).

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

266505248 is a wasteful number, since it uses less digits than its factorization.

266505248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10761 (or 10753 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

The square root of 266505248 is about 16324.9884532884. The cubic root of 266505248 is about 643.5296901823.

The spelling of 266505248 in words is "two hundred sixty-six million, five hundred five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 19 32 38 41 76 82 152 164 304 328 608 656 779 1312 1558 3116 6232 10691 12464 21382 24928 42764 85528 171056 203129 342112 406258 438331 812516 876662 1625032 1753324 3250064 3506648 6500128 7013296 8328289 14026592 16656578 33313156 66626312 133252624 266505248