Search a number
-
+
2663928 = 23344111
BaseRepresentation
bin1010001010010111111000
312000100020000
422022113320
51140221203
6133033000
731433361
oct12122770
95010200
102663928
11155a4a3
12a85760
137236b7
144d4b68
153794a3
hex28a5f8

2663928 has 40 divisors (see below), whose sum is σ = 7463280. Its totient is φ = 887760.

The previous prime is 2663897. The next prime is 2663953. The reversal of 2663928 is 8293662.

2663928 is a `hidden beast` number, since 266 + 392 + 8 = 666.

2663928 is digitally balanced in base 2, 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 (36).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a d-powerful number, because it can be written as 27 + 62 + 63 + 37 + 96 + 221 + 85 .

It is a junction number, because it is equal to n+sod(n) for n = 2663892 and 2663901.

It is a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 1408 + ... + 2703.

It is an arithmetic number, because the mean of its divisors is an integer number (186582).

22663928 is an apocalyptic number.

It is an amenable number.

2663928 is an abundant number, since it is smaller than the sum of its proper divisors (4799352).

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

2663928 is a wasteful number, since it uses less digits than its factorization.

2663928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4129 (or 4116 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 2663928 is about 1632.1544044606. The cubic root of 2663928 is about 138.6247664743.

The spelling of 2663928 in words is "two million, six hundred sixty-three thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 4111 8222 12333 16444 24666 32888 36999 49332 73998 98664 110997 147996 221994 295992 332991 443988 665982 887976 1331964 2663928