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12816648 = 23321313693
BaseRepresentation
bin110000111001…
…000100001000
3220010011010200
4300321010020
511240113043
61134412200
7213640215
oct60710410
926104120
1012816648
117264379
124361060
132869920
1419b8b0c
1511d27d3
hexc39108

12816648 has 48 divisors (see below), whose sum is σ = 37384620. Its totient is φ = 3943296.

The previous prime is 12816607. The next prime is 12816667. The reversal of 12816648 is 84661821.

12816648 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 6 + 648 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12404484 + 412164 = 3522^2 + 642^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5911 + ... + 7782.

Almost surely, 212816648 is an apocalyptic number.

12816648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12816648 is an abundant number, since it is smaller than the sum of its proper divisors (24567972).

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

12816648 is a wasteful number, since it uses less digits than its factorization.

12816648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13718 (or 13711 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 12816648 is about 3580.0346367040. The cubic root of 12816648 is about 234.0227898032.

The spelling of 12816648 in words is "twelve million, eight hundred sixteen thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 13693 27386 41079 54772 82158 109544 123237 164316 178009 246474 328632 356018 492948 534027 712036 985896 1068054 1424072 1602081 2136108 3204162 4272216 6408324 12816648