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13975808 = 28711709
BaseRepresentation
bin110101010100…
…000100000000
3222022001012112
4311110010000
512034211213
61215314452
7226535540
oct65240400
928261175
1013975808
117986260
12481ba28
132b84412
141bdb320
151360ea8
hexd54100

13975808 has 72 divisors (see below), whose sum is σ = 34829760. Its totient is φ = 5437440.

The previous prime is 13975799. The next prime is 13975859. The reversal of 13975808 is 80857931.

It is a happy number.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19358 + ... + 20066.

Almost surely, 213975808 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 13975808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17414880).

13975808 is an abundant number, since it is smaller than the sum of its proper divisors (20853952).

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

13975808 is an equidigital number, since it uses as much as digits as its factorization.

13975808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 41.

The square root of 13975808 is about 3738.4231970177. The cubic root of 13975808 is about 240.8753221835.

The spelling of 13975808 in words is "thirteen million, nine hundred seventy-five thousand, eight hundred eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 616 704 709 896 1232 1408 1418 1792 2464 2816 2836 4928 4963 5672 7799 9856 9926 11344 15598 19712 19852 22688 31196 39704 45376 54593 62392 79408 90752 109186 124784 158816 181504 218372 249568 317632 436744 499136 635264 873488 998272 1270528 1746976 1996544 3493952 6987904 13975808