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13475328 = 29331283
BaseRepresentation
bin110011011001…
…111000000000
3221100121200020
4303121320000
511422202303
61200453440
7222352446
oct63317000
927317606
1013475328
117674239
12461a280
132a3a689
141b0ab96
1512b2a53
hexcd9e00

13475328 has 80 divisors (see below), whose sum is σ = 37188096. Its totient is φ = 4331520.

The previous prime is 13475321. The next prime is 13475333. The reversal of 13475328 is 82357431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13475321) 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, 47475 + ... + 47757.

Almost surely, 213475328 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 13475328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18594048).

13475328 is an abundant number, since it is smaller than the sum of its proper divisors (23712768).

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

13475328 is an equidigital number, since it uses as much as digits as its factorization.

13475328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 319 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 13475328 is about 3670.8756448564. The cubic root of 13475328 is about 237.9650161606.

The spelling of 13475328 in words is "thirteen million, four hundred seventy-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 283 372 384 496 512 566 744 768 849 992 1132 1488 1536 1698 1984 2264 2976 3396 3968 4528 5952 6792 7936 8773 9056 11904 13584 15872 17546 18112 23808 26319 27168 35092 36224 47616 52638 54336 70184 72448 105276 108672 140368 144896 210552 217344 280736 421104 434688 561472 842208 1122944 1684416 2245888 3368832 4491776 6737664 13475328