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6855352 = 2371719379
BaseRepresentation
bin11010001001101010111000
3110220021202221
4122021222320
53223332402
6402533424
7112161310
oct32115270
913807687
106855352
113962589
122367274
13156042a
14ca6440
15906337
hex689ab8

6855352 has 64 divisors (see below), whose sum is σ = 16416000. Its totient is φ = 2612736.

The previous prime is 6855319. The next prime is 6855353. The reversal of 6855352 is 2535586.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a d-powerful number, because it can be written as 68 + 82 + 5 + 52 + 314 + 58 + 211 .

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6855353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17899 + ... + 18277.

It is an arithmetic number, because the mean of its divisors is an integer number (256500).

Almost surely, 26855352 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 6855352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8208000).

6855352 is an abundant number, since it is smaller than the sum of its proper divisors (9560648).

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

6855352 is a wasteful number, since it uses less digits than its factorization.

6855352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 424 counting only the distinct ones).

The product of its digits is 36000, while the sum is 34.

The square root of 6855352 is about 2618.2727130687. The cubic root of 6855352 is about 189.9663098160.

The spelling of 6855352 in words is "six million, eight hundred fifty-five thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 17 19 28 34 38 56 68 76 119 133 136 152 238 266 323 379 476 532 646 758 952 1064 1292 1516 2261 2584 2653 3032 4522 5306 6443 7201 9044 10612 12886 14402 18088 21224 25772 28804 45101 50407 51544 57608 90202 100814 122417 180404 201628 244834 360808 403256 489668 856919 979336 1713838 3427676 6855352