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3265248 = 253743113
BaseRepresentation
bin1100011101001011100000
320010220002010
430131023200
51313441443
6153552520
736516450
oct14351340
96126063
103265248
111930258
121115740
138a42cc
1460dd60
15447733
hex31d2e0

3265248 has 96 divisors (see below), whose sum is σ = 10112256. Its totient is φ = 903168.

The previous prime is 3265247. The next prime is 3265331. The reversal of 3265248 is 8425623.

It is a Cunningham number, because it is equal to 18072-1.

It is a tau number, because it is divible by the number of its divisors (96).

It is a d-powerful number, because it can be written as 33 + 218 + 64 + 59 + 220 + 42 + 82 .

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3265247) 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, 28840 + ... + 28952.

It is an arithmetic number, because the mean of its divisors is an integer number (105336).

Almost surely, 23265248 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 3265248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5056128).

3265248 is an abundant number, since it is smaller than the sum of its proper divisors (6847008).

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

3265248 is a wasteful number, since it uses less digits than its factorization.

3265248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 168 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 3265248 is about 1806.9997232983. Note that the first 3 decimals coincide. The cubic root of 3265248 is about 148.3560940820.

The spelling of 3265248 in words is "three million, two hundred sixty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 56 84 86 96 112 113 129 168 172 224 226 258 301 336 339 344 452 516 602 672 678 688 791 903 904 1032 1204 1356 1376 1582 1806 1808 2064 2373 2408 2712 3164 3612 3616 4128 4746 4816 4859 5424 6328 7224 9492 9632 9718 10848 12656 14448 14577 18984 19436 25312 28896 29154 34013 37968 38872 58308 68026 75936 77744 102039 116616 136052 155488 204078 233232 272104 408156 466464 544208 816312 1088416 1632624 3265248