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11483776 = 27731229
BaseRepresentation
bin101011110011…
…101010000000
3210121102210001
4223303222000
510414440101
61050045344
7166416253
oct53635200
923542701
1011483776
116533a27
123a19854
1324c1045
14174d09a
15101c901
hexaf3a80

11483776 has 32 divisors (see below), whose sum is σ = 23210100. Its totient is φ = 5658624.

The previous prime is 11483767. The next prime is 11483777. The reversal of 11483776 is 67738411.

It can be written as a sum of positive squares in 2 ways, for example, as 9985600 + 1498176 = 3160^2 + 1224^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×114837762 = 263754222436352, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11483777) 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, 8730 + ... + 9958.

Almost surely, 211483776 is an apocalyptic number.

11483776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11483776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11605050).

11483776 is an abundant number, since it is smaller than the sum of its proper divisors (11726324).

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

11483776 is an equidigital number, since it uses as much as digits as its factorization.

11483776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1304 counting only the distinct ones).

The product of its digits is 28224, while the sum is 37.

The square root of 11483776 is about 3388.7720489877. The cubic root of 11483776 is about 225.6116755354.

The spelling of 11483776 in words is "eleven million, four hundred eighty-three thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 73 128 146 292 584 1168 1229 2336 2458 4672 4916 9344 9832 19664 39328 78656 89717 157312 179434 358868 717736 1435472 2870944 5741888 11483776