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6855408 = 243372267
BaseRepresentation
bin11010001001101011110000
3110220021212000
4122021223300
53223333113
6402534000
7112161420
oct32115360
913807760
106855408
11396262a
122367300
131560471
14ca6480
15906373
hex689af0

6855408 has 80 divisors (see below), whose sum is σ = 22498560. Its totient is φ = 1957824.

The previous prime is 6855379. The next prime is 6855413. The reversal of 6855408 is 8045586.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 1891 + ... + 4157.

It is an arithmetic number, because the mean of its divisors is an integer number (281232).

Almost surely, 26855408 is an apocalyptic number.

6855408 is the 1512-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6855408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11249280).

6855408 is an abundant number, since it is smaller than the sum of its proper divisors (15643152).

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

6855408 is a wasteful number, since it uses less digits than its factorization.

6855408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2291 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 6855408 is about 2618.2834071200. The cubic root of 6855408 is about 189.9668270802.

The spelling of 6855408 in words is "six million, eight hundred fifty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 2267 3024 4534 6801 9068 13602 15869 18136 20403 27204 31738 36272 40806 47607 54408 61209 63476 81612 95214 108816 122418 126952 142821 163224 190428 244836 253904 285642 326448 380856 428463 489672 571284 761712 856926 979344 1142568 1713852 2285136 3427704 6855408