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11483856 = 24348861
BaseRepresentation
bin101011110011…
…101011010000
3210121102220000
4223303223100
510414440411
61050050000
7166416426
oct53635320
923542800
1011483856
116533a9a
123a19900
1324c10a7
14174d116
15101c956
hexaf3ad0

11483856 has 50 divisors (see below), whose sum is σ = 33241362. Its totient is φ = 3827520.

The previous prime is 11483837. The next prime is 11483863. The reversal of 11483856 is 65838411.

It can be written as a sum of positive squares in only one way, i.e., 11451456 + 32400 = 3384^2 + 180^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 11483856.

It is a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 3135 + ... + 5726.

Almost surely, 211483856 is an apocalyptic number.

11483856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11483856 is an abundant number, since it is smaller than the sum of its proper divisors (21757506).

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

11483856 is an equidigital number, since it uses as much as digits as its factorization.

11483856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8881 (or 8866 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 11483856 is about 3388.7838526527. The cubic root of 11483856 is about 225.6121994308.

The spelling of 11483856 in words is "eleven million, four hundred eighty-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 8861 17722 26583 35444 53166 70888 79749 106332 141776 159498 212664 239247 318996 425328 478494 637992 717741 956988 1275984 1435482 1913976 2870964 3827952 5741928 11483856