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13149472 = 257471249
BaseRepresentation
bin110010001010…
…010100100000
3220202001200111
4302022110200
511331240342
61145501104
7216524440
oct62122440
926661614
1013149472
117471436
1244a1794
13295526b
141a64120
15124b217
hexc8a520

13149472 has 48 divisors (see below), whose sum is σ = 30240000. Its totient is φ = 5511168.

The previous prime is 13149457. The next prime is 13149473. The reversal of 13149472 is 27494131.

It is a super-2 number, since 2×131494722 = 345817227757568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13149473) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9904 + ... + 11152.

It is an arithmetic number, because the mean of its divisors is an integer number (630000).

Almost surely, 213149472 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 13149472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15120000).

13149472 is an abundant number, since it is smaller than the sum of its proper divisors (17090528).

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

13149472 is a wasteful number, since it uses less digits than its factorization.

13149472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1305 counting only the distinct ones).

The product of its digits is 6048, while the sum is 31.

The square root of 13149472 is about 3626.2200705418. The cubic root of 13149472 is about 236.0312129549.

The spelling of 13149472 in words is "thirteen million, one hundred forty-nine thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 94 112 188 224 329 376 658 752 1249 1316 1504 2498 2632 4996 5264 8743 9992 10528 17486 19984 34972 39968 58703 69944 117406 139888 234812 279776 410921 469624 821842 939248 1643684 1878496 3287368 6574736 13149472