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11276288 = 2122753
BaseRepresentation
bin101011000001…
…000000000000
3210012220011022
4223001000000
510341320123
61041405012
7164563322
oct53010000
923186138
1011276288
116402051
123939768
13244a77a
1416d7612
15ecb1c8
hexac1000

11276288 has 26 divisors (see below), whose sum is σ = 22558014. Its totient is φ = 5636096.

The previous prime is 11276269. The next prime is 11276303. The reversal of 11276288 is 88267211.

It can be written as a sum of positive squares in only one way, i.e., 11075584 + 200704 = 3328^2 + 448^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2720 + ... + 5472.

Almost surely, 211276288 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 11276288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11279007).

11276288 is an abundant number, since it is smaller than the sum of its proper divisors (11281726).

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

11276288 is an frugal number, since it uses more digits than its factorization.

11276288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2777 (or 2755 counting only the distinct ones).

The product of its digits is 10752, while the sum is 35.

The square root of 11276288 is about 3358.0184633203. The cubic root of 11276288 is about 224.2446307004.

The spelling of 11276288 in words is "eleven million, two hundred seventy-six thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 2753 4096 5506 11012 22024 44048 88096 176192 352384 704768 1409536 2819072 5638144 11276288