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13851328 = 261729439
BaseRepresentation
bin110100110101…
…101011000000
3222001201110011
4310311223000
512021220303
61212514304
7225506611
oct64655300
928051404
1013851328
117900787
12477b994
132b3c86a
141ba7c08
15133916d
hexd35ac0

13851328 has 56 divisors (see below), whose sum is σ = 30175200. Its totient is φ = 6279168.

The previous prime is 13851293. The next prime is 13851329. The reversal of 13851328 is 82315831.

It is a self number, because there is not a number n which added to its sum of digits gives 13851328.

It is not an unprimeable number, because it can be changed into a prime (13851329) 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 7 ways as a sum of consecutive naturals, for example, 31333 + ... + 31771.

Almost surely, 213851328 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 13851328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15087600).

13851328 is an abundant number, since it is smaller than the sum of its proper divisors (16323872).

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

13851328 is a wasteful number, since it uses less digits than its factorization.

13851328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 487 counting only the distinct ones).

The product of its digits is 5760, while the sum is 31.

The square root of 13851328 is about 3721.7372287683. The cubic root of 13851328 is about 240.1580440506.

The spelling of 13851328 in words is "thirteen million, eight hundred fifty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 17 29 32 34 58 64 68 116 136 232 272 439 464 493 544 878 928 986 1088 1756 1856 1972 3512 3944 7024 7463 7888 12731 14048 14926 15776 25462 28096 29852 31552 50924 59704 101848 119408 203696 216427 238816 407392 432854 477632 814784 865708 1731416 3462832 6925664 13851328