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11488896 = 27329973
BaseRepresentation
bin101011110100…
…111010000000
3210121200210200
4223310322000
510420121041
61050125200
7166440216
oct53647200
923550720
1011488896
116537861
123a20800
1324c3483
141750cb6
15101e1b6
hexaf4e80

11488896 has 48 divisors (see below), whose sum is σ = 33063810. Its totient is φ = 3829248.

The previous prime is 11488877. The next prime is 11488903. The reversal of 11488896 is 69888411.

It can be written as a sum of positive squares in only one way, i.e., 11128896 + 360000 = 3336^2 + 600^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 3835 + ... + 6138.

Almost surely, 211488896 is an apocalyptic number.

11488896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11488896 is an abundant number, since it is smaller than the sum of its proper divisors (21574914).

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

11488896 is an equidigital number, since it uses as much as digits as its factorization.

11488896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9993 (or 9978 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The square root of 11488896 is about 3389.5274006858. The cubic root of 11488896 is about 225.6451999369.

The spelling of 11488896 in words is "eleven million, four hundred eighty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 9973 19946 29919 39892 59838 79784 89757 119676 159568 179514 239352 319136 359028 478704 638272 718056 957408 1276544 1436112 1914816 2872224 3829632 5744448 11488896