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4003328 = 2971117
BaseRepresentation
bin1111010001011000000000
321112101112102
433101120000
52011101303
6221445532
746012340
oct17213000
97471472
104003328
11229483a
1214108a8
13aa2244
14762d20
15541288
hex3d1600

4003328 has 40 divisors (see below), whose sum is σ = 9149712. Its totient is φ = 1714176.

The previous prime is 4003297. The next prime is 4003333. The reversal of 4003328 is 8233004.

It is a zygodrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3026 + ... + 4142.

Almost surely, 24003328 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 4003328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4574856).

4003328 is an abundant number, since it is smaller than the sum of its proper divisors (5146384).

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

4003328 is an equidigital number, since it uses as much as digits as its factorization.

4003328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 4003328 is about 2000.8318270160. The cubic root of 4003328 is about 158.7841169157.

The spelling of 4003328 in words is "four million, three thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1117 1792 2234 3584 4468 7819 8936 15638 17872 31276 35744 62552 71488 125104 142976 250208 285952 500416 571904 1000832 2001664 4003328