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11244496 = 244161281
BaseRepresentation
bin101010111001…
…001111010000
3210011021112211
4222321033100
510334310441
61041001504
7164401534
oct52711720
923137484
1011244496
11639017a
123923294
132439163
1416c9bc4
15ec1a81
hexab93d0

11244496 has 40 divisors (see below), whose sum is σ = 22764168. Its totient is φ = 5376000.

The previous prime is 11244491. The next prime is 11244503. The reversal of 11244496 is 69444211.

11244496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 115600 + 11128896 = 340^2 + 3336^2 .

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11244491) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39876 + ... + 40156.

Almost surely, 211244496 is an apocalyptic number.

11244496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11244496 is an abundant number, since it is smaller than the sum of its proper divisors (11519672).

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

11244496 is a wasteful number, since it uses less digits than its factorization.

11244496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 385 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

The square root of 11244496 is about 3353.2813779938. The cubic root of 11244496 is about 224.0336896607.

It can be divided in two parts, 1124 and 4496, that multiplied together give a square (5053504 = 22482).

The spelling of 11244496 in words is "eleven million, two hundred forty-four thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 41 61 82 122 164 244 281 328 488 562 656 976 1124 2248 2501 4496 5002 10004 11521 17141 20008 23042 34282 40016 46084 68564 92168 137128 184336 274256 702781 1405562 2811124 5622248 11244496