Search a number
-
+
2622828 = 22313172343
BaseRepresentation
bin1010000000010101101100
311221020211210
422000111230
51132412303
6132114420
731202505
oct12002554
94836753
102622828
11153162a
12a65a10
1370aa90
144c3bac
1536c203
hex28056c

2622828 has 96 divisors (see below), whose sum is σ = 7451136. Its totient is φ = 709632.

The previous prime is 2622827. The next prime is 2622857. The reversal of 2622828 is 8282262.

It is a d-powerful number, because it can be written as 28 + 62 + 210 + 219 + 8 + 221 + 82 .

It is a junction number, because it is equal to n+sod(n) for n = 2622795 and 2622804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2622821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60975 + ... + 61017.

It is an arithmetic number, because the mean of its divisors is an integer number (77616).

22622828 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 2622828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3725568).

2622828 is an abundant number, since it is smaller than the sum of its proper divisors (4828308).

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

2622828 is a wasteful number, since it uses less digits than its factorization.

2622828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 101 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 2622828 is about 1619.5147421373. The cubic root of 2622828 is about 137.9081514424.

The spelling of 2622828 in words is "two million, six hundred twenty-two thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 17 23 26 34 39 43 46 51 52 68 69 78 86 92 102 129 138 156 172 204 221 258 276 299 391 442 516 559 598 663 731 782 884 897 989 1118 1173 1196 1326 1462 1564 1677 1794 1978 2193 2236 2346 2652 2924 2967 3354 3588 3956 4386 4692 5083 5934 6708 8772 9503 10166 11868 12857 15249 16813 19006 20332 25714 28509 30498 33626 38012 38571 50439 51428 57018 60996 67252 77142 100878 114036 154284 201756 218569 437138 655707 874276 1311414 2622828