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11287444 = 227319433
BaseRepresentation
bin101011000011…
…101110010100
3210020110110111
4223003232110
510342144234
61041532404
7164641000
oct53035624
923213414
1011287444
11640a473
123944104
13245287c
1416db700
15ece664
hexac3b94

11287444 has 48 divisors (see below), whose sum is σ = 24304000. Its totient is φ = 4572288.

The previous prime is 11287429. The next prime is 11287453. The reversal of 11287444 is 44478211.

It is a happy number.

11287444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25852 + ... + 26284.

Almost surely, 211287444 is an apocalyptic number.

11287444 is a gapful number since it is divisible by the number (14) 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 11287444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12152000).

11287444 is an abundant number, since it is smaller than the sum of its proper divisors (13016556).

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

11287444 is a wasteful number, since it uses less digits than its factorization.

11287444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 461 counting only the distinct ones).

The product of its digits is 7168, while the sum is 31.

The square root of 11287444 is about 3359.6791513476. The cubic root of 11287444 is about 224.3185571721.

The spelling of 11287444 in words is "eleven million, two hundred eighty-seven thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 196 266 343 433 532 686 866 931 1372 1732 1862 3031 3724 6062 6517 8227 12124 13034 16454 21217 26068 32908 42434 57589 84868 115178 148519 230356 297038 403123 594076 806246 1612492 2821861 5643722 11287444