Search a number
-
+
6732828 = 2233312011
BaseRepresentation
bin11001101011110000011100
3110200001201000
4121223300130
53210422303
6400150300
7111141144
oct31536034
913601630
106732828
113889523
122308390
13151972b
14c73924
158ceda3
hex66bc1c

6732828 has 48 divisors (see below), whose sum is σ = 18027520. Its totient is φ = 2170800.

The previous prime is 6732827. The next prime is 6732851. The reversal of 6732828 is 8282376.

It is a happy number.

6732828 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 6732792 and 6732801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6732823) 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, 2343 + ... + 4353.

Almost surely, 26732828 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 6732828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9013760).

6732828 is an abundant number, since it is smaller than the sum of its proper divisors (11294692).

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

6732828 is a wasteful number, since it uses less digits than its factorization.

6732828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2055 (or 2047 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 6732828 is about 2594.7693539118. The cubic root of 6732828 is about 188.8277594321.

The spelling of 6732828 in words is "six million, seven hundred thirty-two thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 558 837 1116 1674 2011 3348 4022 6033 8044 12066 18099 24132 36198 54297 62341 72396 108594 124682 187023 217188 249364 374046 561069 748092 1122138 1683207 2244276 3366414 6732828