Search a number
-
+
11482728 = 2333767193
BaseRepresentation
bin101011110011…
…011001101000
3210121101100020
4223303121220
510414421403
61050040440
7166413225
oct53633150
923541306
1011482728
116533164
123a19120
1324c071a
14174c94c
15101c453
hexaf3668

11482728 has 64 divisors (see below), whose sum is σ = 30077760. Its totient is φ = 3649536.

The previous prime is 11482699. The next prime is 11482733. The reversal of 11482728 is 82728411.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59400 + ... + 59592.

It is an arithmetic number, because the mean of its divisors is an integer number (469965).

Almost surely, 211482728 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 11482728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15038880).

11482728 is an abundant number, since it is smaller than the sum of its proper divisors (18595032).

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

11482728 is a wasteful number, since it uses less digits than its factorization.

11482728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 302 counting only the distinct ones).

The product of its digits is 7168, while the sum is 33.

The square root of 11482728 is about 3388.6174171777. The cubic root of 11482728 is about 225.6048122810.

The spelling of 11482728 in words is "eleven million, four hundred eighty-two thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 37 67 74 111 134 148 193 201 222 268 296 386 402 444 536 579 772 804 888 1158 1544 1608 2316 2479 4632 4958 7141 7437 9916 12931 14282 14874 19832 21423 25862 28564 29748 38793 42846 51724 57128 59496 77586 85692 103448 155172 171384 310344 478447 956894 1435341 1913788 2870682 3827576 5741364 11482728