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13393248 = 2531121153
BaseRepresentation
bin110011000101…
…110101100000
3221012110002020
4303011311200
511412040443
61155021440
7221561241
oct63056540
927173066
1013393248
117618600
12459a880
132a0c1cb
141ac8cc8
151298583
hexcc5d60

13393248 has 72 divisors (see below), whose sum is σ = 38677464. Its totient is φ = 4055040.

The previous prime is 13393231. The next prime is 13393267. The reversal of 13393248 is 84239331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 11 ways as a sum of consecutive naturals, for example, 11040 + ... + 12192.

It is an arithmetic number, because the mean of its divisors is an integer number (537187).

Almost surely, 213393248 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 13393248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19338732).

13393248 is an abundant number, since it is smaller than the sum of its proper divisors (25284216).

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

13393248 is a wasteful number, since it uses less digits than its factorization.

13393248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1169 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 13393248 is about 3659.6786744194. The cubic root of 13393248 is about 237.4808730672.

The spelling of 13393248 in words is "thirteen million, three hundred ninety-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 352 363 484 528 726 968 1056 1153 1452 1936 2306 2904 3459 3872 4612 5808 6918 9224 11616 12683 13836 18448 25366 27672 36896 38049 50732 55344 76098 101464 110688 139513 152196 202928 279026 304392 405856 418539 558052 608784 837078 1116104 1217568 1674156 2232208 3348312 4464416 6696624 13393248