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5853328 = 2413107263
BaseRepresentation
bin10110010101000010010000
3102000101020221
4112111002100
52444301303
6325242424
7100516045
oct26250220
912011227
105853328
113338768
121b63414
13129c310
14ac51cc
157a94bd
hex595090

5853328 has 40 divisors (see below), whose sum is σ = 12374208. Its totient is φ = 2666112.

The previous prime is 5853319. The next prime is 5853343. The reversal of 5853328 is 8233585.

It is a super-2 number, since 2×58533282 = 68522897351168, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5853293 and 5853302.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22125 + ... + 22387.

Almost surely, 25853328 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 5853328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6187104).

5853328 is an abundant number, since it is smaller than the sum of its proper divisors (6520880).

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

5853328 is a wasteful number, since it uses less digits than its factorization.

5853328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 385 counting only the distinct ones).

The product of its digits is 28800, while the sum is 34.

The square root of 5853328 is about 2419.3652059993. The cubic root of 5853328 is about 180.2191569280.

The spelling of 5853328 in words is "five million, eight hundred fifty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 107 208 214 263 428 526 856 1052 1391 1712 2104 2782 3419 4208 5564 6838 11128 13676 22256 27352 28141 54704 56282 112564 225128 365833 450256 731666 1463332 2926664 5853328