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3993296 = 24318397
BaseRepresentation
bin1111001110111011010000
321111212202212
433032323100
52010241141
6221331252
745641156
oct17167320
97455685
103993296
11228824a
121406b28
13a9a7c8
1475d3d6
1553d2eb
hex3ceed0

3993296 has 40 divisors (see below), whose sum is σ = 8166144. Its totient is φ = 1889280.

The previous prime is 3993263. The next prime is 3993313. The reversal of 3993296 is 6923993.

It is a happy number.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 41120 + ... + 41216.

Almost surely, 23993296 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 3993296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4083072).

3993296 is an abundant number, since it is smaller than the sum of its proper divisors (4172848).

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

3993296 is a wasteful number, since it uses less digits than its factorization.

3993296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 213 counting only the distinct ones).

The product of its digits is 78732, while the sum is 41.

The square root of 3993296 is about 1998.3232971669. The cubic root of 3993296 is about 158.6513728011.

The spelling of 3993296 in words is "three million, nine hundred ninety-three thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 31 62 83 97 124 166 194 248 332 388 496 664 776 1328 1552 2573 3007 5146 6014 8051 10292 12028 16102 20584 24056 32204 41168 48112 64408 128816 249581 499162 998324 1996648 3993296