Search a number
-
+
2679468 = 2231153383
BaseRepresentation
bin1010001110001010101100
312001010112120
422032022230
51141220333
6133232540
731526601
oct12161254
95033476
102679468
111570140
12a92750
1372a7ac
144da6a8
1537ddb3
hex28e2ac

2679468 has 48 divisors (see below), whose sum is σ = 6967296. Its totient is φ = 794560.

The previous prime is 2679463. The next prime is 2679491. The reversal of 2679468 is 8649762.

It is not an unprimeable number, because it can be changed into a prime (2679461) 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, 6805 + ... + 7187.

It is an arithmetic number, because the mean of its divisors is an integer number (145152).

22679468 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 2679468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3483648).

2679468 is an abundant number, since it is smaller than the sum of its proper divisors (4287828).

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

2679468 is a wasteful number, since it uses less digits than its factorization.

2679468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 452 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 2679468 is about 1636.9080609491. The cubic root of 2679468 is about 138.8937994590.

It can be divided in two parts, 26794 and 68, that added together give a palindrome (26862).

The spelling of 2679468 in words is "two million, six hundred seventy-nine thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 53 66 106 132 159 212 318 383 583 636 766 1149 1166 1532 1749 2298 2332 3498 4213 4596 6996 8426 12639 16852 20299 25278 40598 50556 60897 81196 121794 223289 243588 446578 669867 893156 1339734 2679468