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13478528 = 2773307
BaseRepresentation
bin110011011010…
…101010000000
3221100210001202
4303122222000
511422303103
61200520332
7222365000
oct63325200
927323052
1013478528
117676688
1246200a8
132a3bc7b
141b0c000
1512b3988
hexcdaa80

13478528 has 64 divisors (see below), whose sum is σ = 31416000. Its totient is φ = 5757696.

The previous prime is 13478513. The next prime is 13478537. The reversal of 13478528 is 82587431.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 13478491 and 13478500.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43751 + ... + 44057.

It is an arithmetic number, because the mean of its divisors is an integer number (490875).

Almost surely, 213478528 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 13478528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15708000).

13478528 is an abundant number, since it is smaller than the sum of its proper divisors (17937472).

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

13478528 is an frugal number, since it uses more digits than its factorization.

13478528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 316 counting only the distinct ones).

The product of its digits is 53760, while the sum is 38.

The square root of 13478528 is about 3671.3114822908. The cubic root of 13478528 is about 237.9838512688.

The spelling of 13478528 in words is "thirteen million, four hundred seventy-eight thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 307 343 392 448 614 686 784 896 1228 1372 1568 2149 2456 2744 3136 4298 4912 5488 6272 8596 9824 10976 15043 17192 19648 21952 30086 34384 39296 43904 60172 68768 105301 120344 137536 210602 240688 275072 421204 481376 842408 962752 1684816 1925504 3369632 6739264 13478528