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12198048 = 253612083
BaseRepresentation
bin101110100010…
…000010100000
3211221201120120
4232202002200
511110314143
61113240240
7205452552
oct56420240
924851516
1012198048
116981635
124103080
1326b11a5
1418974d2
15110e383
hexba20a0

12198048 has 48 divisors (see below), whose sum is σ = 32560416. Its totient is φ = 3997440.

The previous prime is 12198037. The next prime is 12198059. The reversal of 12198048 is 84089121.

It is an interprime number because it is at equal distance from previous prime (12198037) and next prime (12198059).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4815 + ... + 6897.

It is an arithmetic number, because the mean of its divisors is an integer number (678342).

Almost surely, 212198048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12198048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16280208).

12198048 is an abundant number, since it is smaller than the sum of its proper divisors (20362368).

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

12198048 is a wasteful number, since it uses less digits than its factorization.

12198048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2157 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 12198048 is about 3492.5704001494. The cubic root of 12198048 is about 230.1954733947.

The spelling of 12198048 in words is "twelve million, one hundred ninety-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 732 976 1464 1952 2083 2928 4166 5856 6249 8332 12498 16664 24996 33328 49992 66656 99984 127063 199968 254126 381189 508252 762378 1016504 1524756 2033008 3049512 4066016 6099024 12198048