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13249488 = 243747839
BaseRepresentation
bin110010100010…
…101111010000
3220221010212210
4302202233100
511342440423
61151552120
7220422150
oct62425720
926833783
1013249488
11752a59a
12452b640
13298b945
141a8c760
15126ab93
hexca2bd0

13249488 has 80 divisors (see below), whose sum is σ = 39997440. Its totient is φ = 3700608.

The previous prime is 13249487. The next prime is 13249499. The reversal of 13249488 is 88494231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13249487) 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 15 ways as a sum of consecutive naturals, for example, 15373 + ... + 16211.

It is an arithmetic number, because the mean of its divisors is an integer number (499968).

Almost surely, 213249488 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 13249488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19998720).

13249488 is an abundant number, since it is smaller than the sum of its proper divisors (26747952).

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

13249488 is a wasteful number, since it uses less digits than its factorization.

13249488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 898 counting only the distinct ones).

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

The square root of 13249488 is about 3639.9846153521. The cubic root of 13249488 is about 236.6281265903.

The spelling of 13249488 in words is "thirteen million, two hundred forty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 47 48 56 84 94 112 141 168 188 282 329 336 376 564 658 752 839 987 1128 1316 1678 1974 2256 2517 2632 3356 3948 5034 5264 5873 6712 7896 10068 11746 13424 15792 17619 20136 23492 35238 39433 40272 46984 70476 78866 93968 118299 140952 157732 236598 276031 281904 315464 473196 552062 630928 828093 946392 1104124 1656186 1892784 2208248 3312372 4416496 6624744 13249488