Search a number
-
+
6211828 = 227241773
BaseRepresentation
bin10111101100100011110100
3102200121000201
4113230203310
53042234303
6341050244
7103541200
oct27544364
912617021
106211828
113563047
1220b6984
13139654c
14b79b00
1582a81d
hex5ec8f4

6211828 has 36 divisors (see below), whose sum is σ = 12970692. Its totient is φ = 2593920.

The previous prime is 6211781. The next prime is 6211831. The reversal of 6211828 is 8281126.

It can be written as a sum of positive squares in 2 ways, for example, as 345744 + 5866084 = 588^2 + 2422^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 6211796 and 6211805.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7650 + ... + 8422.

It is an arithmetic number, because the mean of its divisors is an integer number (360297).

Almost surely, 26211828 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 6211828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6485346).

6211828 is an abundant number, since it is smaller than the sum of its proper divisors (6758864).

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

6211828 is a wasteful number, since it uses less digits than its factorization.

6211828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 823 counting only the distinct ones).

The product of its digits is 1536, while the sum is 28.

The square root of 6211828 is about 2492.3539074538. The cubic root of 6211828 is about 183.8258039466.

The spelling of 6211828 in words is "six million, two hundred eleven thousand, eight hundred twenty-eight".

Divisors: 1 2 4 7 14 28 41 49 82 98 164 196 287 574 773 1148 1546 2009 3092 4018 5411 8036 10822 21644 31693 37877 63386 75754 126772 151508 221851 443702 887404 1552957 3105914 6211828