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13627408 = 2419231949
BaseRepresentation
bin110011111111…
…000000010000
3221122100021211
4303333000100
511442034113
61204025504
7223555024
oct63770020
927570254
1013627408
117768523
124692294
132a91972
141b4a384
1512e2b3d
hexcff010

13627408 has 40 divisors (see below), whose sum is σ = 29016000. Its totient is φ = 6171264.

The previous prime is 13627381. The next prime is 13627417. The reversal of 13627408 is 80472631.

It is a self number, because there is not a number n which added to its sum of digits gives 13627408.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6018 + ... + 7966.

It is an arithmetic number, because the mean of its divisors is an integer number (725400).

Almost surely, 213627408 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 13627408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14508000).

13627408 is an abundant number, since it is smaller than the sum of its proper divisors (15388592).

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

13627408 is a wasteful number, since it uses less digits than its factorization.

13627408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1999 (or 1993 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 13627408 is about 3691.5319313261. The cubic root of 13627408 is about 238.8568787669.

The spelling of 13627408 in words is "thirteen million, six hundred twenty-seven thousand, four hundred eight".

Divisors: 1 2 4 8 16 19 23 38 46 76 92 152 184 304 368 437 874 1748 1949 3496 3898 6992 7796 15592 31184 37031 44827 74062 89654 148124 179308 296248 358616 592496 717232 851713 1703426 3406852 6813704 13627408