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7056828 = 2233192181
BaseRepresentation
bin11010111010110110111100
3111021112011000
4122322312330
53301304303
6411130300
7113660562
oct32726674
914245130
107056828
113a8a999
122443990
13160104c
14d19a32
15945da3
hex6badbc

7056828 has 72 divisors (see below), whose sum is σ = 19415760. Its totient is φ = 2216160.

The previous prime is 7056827. The next prime is 7056851. The reversal of 7056828 is 8286507.

7056828 is a `hidden beast` number, since 70 + 568 + 28 = 666.

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 7056792 and 7056801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7056821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38898 + ... + 39078.

Almost surely, 27056828 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 7056828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9707880).

7056828 is an abundant number, since it is smaller than the sum of its proper divisors (12358932).

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

7056828 is a wasteful number, since it uses less digits than its factorization.

7056828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 7056828 is about 2656.4690850827. The cubic root of 7056828 is about 191.8093811274.

The spelling of 7056828 in words is "seven million, fifty-six thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 181 228 342 361 362 513 543 684 722 724 1026 1083 1086 1444 1629 2052 2166 2172 3249 3258 3439 4332 4887 6498 6516 6878 9747 9774 10317 12996 13756 19494 19548 20634 30951 38988 41268 61902 65341 92853 123804 130682 185706 196023 261364 371412 392046 588069 784092 1176138 1764207 2352276 3528414 7056828