Search a number
-
+
2678496 = 25327901
BaseRepresentation
bin1010001101111011100000
312001002012120
422031323200
51141202441
6133224240
731524012
oct12157340
95032176
102678496
11156a437
12a92080
1372a212
144da1b2
1537d966
hex28dee0

2678496 has 24 divisors (see below), whose sum is σ = 7031304. Its totient is φ = 892800.

The previous prime is 2678471. The next prime is 2678497. The reversal of 2678496 is 6948762.

2678496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is an Ulam number.

It is a d-powerful number, because it can be written as 215 + 66 + 77 + 85 + 46 + 95 + 68 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2678497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13855 + ... + 14046.

It is an arithmetic number, because the mean of its divisors is an integer number (292971).

22678496 is an apocalyptic number.

It is an amenable number.

2678496 is an abundant number, since it is smaller than the sum of its proper divisors (4352808).

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

2678496 is a wasteful number, since it uses less digits than its factorization.

2678496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27914 (or 27906 counting only the distinct ones).

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

The square root of 2678496 is about 1636.6111327985. The cubic root of 2678496 is about 138.8770024554.

The spelling of 2678496 in words is "two million, six hundred seventy-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 27901 55802 83703 111604 167406 223208 334812 446416 669624 892832 1339248 2678496