Search a number
-
+
18268768 = 257261191
BaseRepresentation
bin100010110110…
…0001001100000
31021101011001001
41011230021200
514134100033
61451321344
7311165500
oct105541140
937334031
1018268768
11a348661
126150254
133a2842b
1425d7a00
15190ce7d
hex116c260

18268768 has 72 divisors (see below), whose sum is σ = 42747264. Its totient is φ = 7660800.

The previous prime is 18268751. The next prime is 18268777. The reversal of 18268768 is 86786281.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95553 + ... + 95743.

It is an arithmetic number, because the mean of its divisors is an integer number (593712).

Almost surely, 218268768 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 18268768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21373632).

18268768 is an abundant number, since it is smaller than the sum of its proper divisors (24478496).

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

18268768 is a wasteful number, since it uses less digits than its factorization.

18268768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 261 counting only the distinct ones).

The product of its digits is 258048, while the sum is 46.

The square root of 18268768 is about 4274.1979364554. The cubic root of 18268768 is about 263.3720920714.

The spelling of 18268768 in words is "eighteen million, two hundred sixty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 61 98 112 122 191 196 224 244 382 392 427 488 764 784 854 976 1337 1528 1568 1708 1952 2674 2989 3056 3416 5348 5978 6112 6832 9359 10696 11651 11956 13664 18718 21392 23302 23912 37436 42784 46604 47824 74872 81557 93208 95648 149744 163114 186416 299488 326228 372832 570899 652456 1141798 1304912 2283596 2609824 4567192 9134384 18268768