Search a number
-
+
2668248 = 2333111123
BaseRepresentation
bin1010001011011011011000
312000120011000
422023123120
51140340443
6133105000
731452102
oct12133330
95016130
102668248
111562770
12a88160
1372565b
144d6572
1537a8d3
hex28b6d8

2668248 has 64 divisors (see below), whose sum is σ = 8092800. Its totient is φ = 807840.

The previous prime is 2668247. The next prime is 2668249. The reversal of 2668248 is 8428662.

2668248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2668247) and next prime (2668249).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2668241) 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 15 ways as a sum of consecutive naturals, for example, 1815 + ... + 2937.

It is an arithmetic number, because the mean of its divisors is an integer number (126450).

22668248 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 2668248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4046400).

2668248 is an abundant number, since it is smaller than the sum of its proper divisors (5424552).

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

2668248 is a wasteful number, since it uses less digits than its factorization.

2668248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1139 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 2668248 is about 1633.4772725692. The cubic root of 2668248 is about 138.6996603361.

It can be divided in two parts, 2668 and 248, that added together give a square (2916 = 542).

The spelling of 2668248 in words is "two million, six hundred sixty-eight thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1123 1188 2246 2376 3369 4492 6738 8984 10107 12353 13476 20214 24706 26952 30321 37059 40428 49412 60642 74118 80856 98824 111177 121284 148236 222354 242568 296472 333531 444708 667062 889416 1334124 2668248