Search a number
-
+
2648828 = 2271319383
BaseRepresentation
bin1010000110101011111100
311222120111202
422012223330
51134230303
6132435032
731341350
oct12065374
94876452
102648828
11154a116
12a78a78
13719870
144cd460
15374c88
hex286afc

2648828 has 48 divisors (see below), whose sum is σ = 6021120. Its totient is φ = 990144.

The previous prime is 2648827. The next prime is 2648861. The reversal of 2648828 is 8288462.

2648828 is digitally balanced in base 8, 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 (38).

2648828 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 2648791 and 2648800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2648827) 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, 6725 + ... + 7107.

It is an arithmetic number, because the mean of its divisors is an integer number (125440).

22648828 is an apocalyptic number.

2648828 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2648828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3010560).

2648828 is an abundant number, since it is smaller than the sum of its proper divisors (3372292).

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

2648828 is a wasteful number, since it uses less digits than its factorization.

2648828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 424 counting only the distinct ones).

The product of its digits is 49152, while the sum is 38.

The square root of 2648828 is about 1627.5220428615. The cubic root of 2648828 is about 138.3623467797.

The spelling of 2648828 in words is "two million, six hundred forty-eight thousand, eight hundred twenty-eight".

Divisors: 1 2 4 7 13 14 19 26 28 38 52 76 91 133 182 247 266 364 383 494 532 766 988 1532 1729 2681 3458 4979 5362 6916 7277 9958 10724 14554 19916 29108 34853 50939 69706 94601 101878 139412 189202 203756 378404 662207 1324414 2648828