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857328 = 24353337
BaseRepresentation
bin11010001010011110000
31121120000220
43101103300
5204413303
630213040
710200333
oct3212360
91546026
10857328
1153613a
12354180
132402c4
1418461a
1511e053
hexd14f0

857328 has 40 divisors (see below), whose sum is σ = 2263248. Its totient is φ = 279552.

The previous prime is 857321. The next prime is 857333. The reversal of 857328 is 823758.

It is a super-2 number, since 2×8573282 = 1470022599168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (857321) 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, 2376 + ... + 2712.

2857328 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 857328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131624).

857328 is an abundant number, since it is smaller than the sum of its proper divisors (1405920).

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

857328 is a wasteful number, since it uses less digits than its factorization.

857328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 395 counting only the distinct ones).

The product of its digits is 13440, while the sum is 33.

The square root of 857328 is about 925.9200829445. The cubic root of 857328 is about 94.9982640495.

The spelling of 857328 in words is "eight hundred fifty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 318 337 424 636 674 848 1011 1272 1348 2022 2544 2696 4044 5392 8088 16176 17861 35722 53583 71444 107166 142888 214332 285776 428664 857328