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11282652 = 223497359
BaseRepresentation
bin101011000010…
…100011011100
3210020012220000
4223002203130
510342021102
61041454300
7164621013
oct53024334
923205800
1011282652
116406907
123941390
132450634
1416d9a7a
15ecd01c
hexac28dc

11282652 has 60 divisors (see below), whose sum is σ = 29882160. Its totient is φ = 3711744.

The previous prime is 11282651. The next prime is 11282657. The reversal of 11282652 is 25628211.

It is a happy number.

11282652 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 2 + 652 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11282651) 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 19 ways as a sum of consecutive naturals, for example, 31249 + ... + 31607.

It is an arithmetic number, because the mean of its divisors is an integer number (498036).

Almost surely, 211282652 is an apocalyptic number.

11282652 is a gapful number since it is divisible by the number (12) 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 11282652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14941080).

11282652 is an abundant number, since it is smaller than the sum of its proper divisors (18599508).

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

11282652 is a wasteful number, since it uses less digits than its factorization.

11282652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 461 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 11282652 is about 3358.9659123010. The cubic root of 11282652 is about 224.2868084231.

The spelling of 11282652 in words is "eleven million, two hundred eighty-two thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 97 108 162 194 291 324 359 388 582 718 873 1077 1164 1436 1746 2154 2619 3231 3492 4308 5238 6462 7857 9693 10476 12924 15714 19386 29079 31428 34823 38772 58158 69646 104469 116316 139292 208938 313407 417876 626814 940221 1253628 1880442 2820663 3760884 5641326 11282652