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11449296 = 2433171559
BaseRepresentation
bin101011101011…
…001111010000
3210112200111000
4223223033100
510412334141
61045222000
7166213605
oct53531720
923480430
1011449296
116510031
123a01900
1324ab441
1417406ac
1510125b6
hexaeb3d0

11449296 has 80 divisors (see below), whose sum is σ = 34819200. Its totient is φ = 3589632.

The previous prime is 11449289. The next prime is 11449297. The reversal of 11449296 is 69294411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11449296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11449297) by changing a digit.

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, 6565 + ... + 8123.

It is an arithmetic number, because the mean of its divisors is an integer number (435240).

Almost surely, 211449296 is an apocalyptic number.

11449296 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 11449296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17409600).

11449296 is an abundant number, since it is smaller than the sum of its proper divisors (23369904).

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

11449296 is a wasteful number, since it uses less digits than its factorization.

11449296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593 (or 1581 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 11449296 is about 3383.6808360128. The cubic root of 11449296 is about 225.3856497303.

It can be divided in two parts, 1144 and 9296, that added together give a triangular number (10440 = T144).

The spelling of 11449296 in words is "eleven million, four hundred forty-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1559 1836 2448 3118 3672 4677 6236 7344 9354 12472 14031 18708 24944 26503 28062 37416 42093 53006 56124 74832 79509 84186 106012 112248 159018 168372 212024 224496 238527 318036 336744 424048 477054 636072 673488 715581 954108 1272144 1431162 1908216 2862324 3816432 5724648 11449296