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12085848 = 23356217
BaseRepresentation
bin101110000110…
…101001011000
3211202000200000
4232012221120
511043221343
61111013000
7204504465
oct56065130
924660600
1012085848
116905305
12406a160
1326720b8
14186866c
1510daed3
hexb86a58

12085848 has 48 divisors (see below), whose sum is σ = 33950280. Its totient is φ = 4027968.

The previous prime is 12085847. The next prime is 12085849. The reversal of 12085848 is 84858021.

It is an interprime number because it is at equal distance from previous prime (12085847) and next prime (12085849).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12085847) 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 11 ways as a sum of consecutive naturals, for example, 1165 + ... + 5052.

Almost surely, 212085848 is an apocalyptic number.

12085848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12085848 is an abundant number, since it is smaller than the sum of its proper divisors (21864432).

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

12085848 is an equidigital number, since it uses as much as digits as its factorization.

12085848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6238 (or 6222 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 12085848 is about 3476.4706240669. The cubic root of 12085848 is about 229.4875041255.

It can be divided in two parts, 1208 and 5848, that added together give a square (7056 = 842).

The spelling of 12085848 in words is "twelve million, eighty-five thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 6217 12434 18651 24868 37302 49736 55953 74604 111906 149208 167859 223812 335718 447624 503577 671436 1007154 1342872 1510731 2014308 3021462 4028616 6042924 12085848