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11455056 = 243279549
BaseRepresentation
bin101011101100…
…101001010000
3210112222101100
4223230221100
510413030211
61045304400
7166236444
oct53545120
923488340
1011455056
116514398
123a05100
1324b0c52
141742824
151014156
hexaeca50

11455056 has 30 divisors (see below), whose sum is σ = 32058650. Its totient is φ = 3818304.

The previous prime is 11455051. The next prime is 11455061. The reversal of 11455056 is 65055411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11455051) and next prime (11455061).

It can be written as a sum of positive squares in only one way, i.e., 11451456 + 3600 = 3384^2 + 60^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11455051) 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 5 ways as a sum of consecutive naturals, for example, 39631 + ... + 39918.

Almost surely, 211455056 is an apocalyptic number.

11455056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11455056 is an abundant number, since it is smaller than the sum of its proper divisors (20603594).

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

11455056 is a wasteful number, since it uses less digits than its factorization.

11455056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79563 (or 79554 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 11455056 is about 3384.5318730956. The cubic root of 11455056 is about 225.4234396432.

The spelling of 11455056 in words is "eleven million, four hundred fifty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 79549 159098 238647 318196 477294 636392 715941 954588 1272784 1431882 1909176 2863764 3818352 5727528 11455056