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6829056 = 210331319
BaseRepresentation
bin11010000011010000000000
3110211221201000
4122003100000
53222012211
6402212000
7112021533
oct32032000
913757630
106829056
113944853
122354000
131551480
14c9aa1a
158ed656
hex683400

6829056 has 176 divisors, whose sum is σ = 22926400. Its totient is φ = 1990656.

The previous prime is 6829051. The next prime is 6829057. The reversal of 6829056 is 6509286.

It is a super-2 number, since 2×68290562 = 93272011702272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6829056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6829051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 359415 + ... + 359433.

Almost surely, 26829056 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 6829056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11463200).

6829056 is an abundant number, since it is smaller than the sum of its proper divisors (16097344).

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

6829056 is a wasteful number, since it uses less digits than its factorization.

6829056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 6829056 is about 2613.2462570527. The cubic root of 6829056 is about 189.7231054385.

The spelling of 6829056 in words is "six million, eight hundred twenty-nine thousand, fifty-six".