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12633888 = 2531011303
BaseRepresentation
bin110000001100…
…011100100000
3212202212102210
4300030130200
511213241023
61130442120
7212246331
oct60143440
925685383
1012633888
11714a033
124293340
132804697
14196c288
151198593
hexc0c720

12633888 has 48 divisors (see below), whose sum is σ = 33518016. Its totient is φ = 4166400.

The previous prime is 12633869. The next prime is 12633899. The reversal of 12633888 is 88833621.

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

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

It is a congruent number.

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, 9045 + ... + 10347.

It is an arithmetic number, because the mean of its divisors is an integer number (698292).

Almost surely, 212633888 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 12633888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16759008).

12633888 is an abundant number, since it is smaller than the sum of its proper divisors (20884128).

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

12633888 is a wasteful number, since it uses less digits than its factorization.

12633888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417 (or 1409 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 12633888 is about 3554.4180958351. The cubic root of 12633888 is about 232.9051048174.

It can be divided in two parts, 1263 and 3888, that added together give a triangular number (5151 = T101).

The spelling of 12633888 in words is "twelve million, six hundred thirty-three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 202 303 404 606 808 1212 1303 1616 2424 2606 3232 3909 4848 5212 7818 9696 10424 15636 20848 31272 41696 62544 125088 131603 263206 394809 526412 789618 1052824 1579236 2105648 3158472 4211296 6316944 12633888