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12639348 = 2233373163
BaseRepresentation
bin110000001101…
…110001110100
3212210010221000
4300031301310
511213424343
61130523300
7212301261
oct60156164
925703830
1012639348
117153147
124296530
132807007
141970268
151199ed3
hexc0dc74

12639348 has 48 divisors (see below), whose sum is σ = 33664960. Its totient is φ = 4097952.

The previous prime is 12639329. The next prime is 12639353. The reversal of 12639348 is 84393621.

12639348 is a `hidden beast` number, since 12 + 639 + 3 + 4 + 8 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2415 + ... + 5577.

Almost surely, 212639348 is an apocalyptic number.

12639348 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12639348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16832480).

12639348 is an abundant number, since it is smaller than the sum of its proper divisors (21025612).

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

12639348 is a wasteful number, since it uses less digits than its factorization.

12639348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3213 (or 3205 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 12639348 is about 3555.1860710798. The cubic root of 12639348 is about 232.9386515958.

The spelling of 12639348 in words is "twelve million, six hundred thirty-nine thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 444 666 999 1332 1998 3163 3996 6326 9489 12652 18978 28467 37956 56934 85401 113868 117031 170802 234062 341604 351093 468124 702186 1053279 1404372 2106558 3159837 4213116 6319674 12639348