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16393856 = 27211607
BaseRepresentation
bin111110100010…
…011010000000
31010211220010212
4332202122000
513144100411
61343213252
7256226333
oct76423200
933756125
1016393856
119287a46
1255a7228
13351cc0b
14226a61a
15168c68b
hexfa2680

16393856 has 32 divisors (see below), whose sum is σ = 32868480. Its totient is φ = 8144640.

The previous prime is 16393847. The next prime is 16393859. The reversal of 16393856 is 65839361.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (16393859) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26705 + ... + 27311.

It is an arithmetic number, because the mean of its divisors is an integer number (1027140).

Almost surely, 216393856 is an apocalyptic number.

16393856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16393856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16434240).

16393856 is an abundant number, since it is smaller than the sum of its proper divisors (16474624).

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

16393856 is an equidigital number, since it uses as much as digits as its factorization.

16393856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 820 counting only the distinct ones).

The product of its digits is 116640, while the sum is 41.

The square root of 16393856 is about 4048.9326988726. The cubic root of 16393856 is about 254.0350872231.

The spelling of 16393856 in words is "sixteen million, three hundred ninety-three thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 211 422 607 844 1214 1688 2428 3376 4856 6752 9712 13504 19424 27008 38848 77696 128077 256154 512308 1024616 2049232 4098464 8196928 16393856