Search a number
-
+
16293888 = 213321317
BaseRepresentation
bin111110001010…
…000000000000
31010122211000100
4332022000000
513132401023
61341122400
7255332022
oct76120000
933584010
1016293888
119219926
125559400
1334b6570
142242012
15166cc43
hexf8a000

16293888 has 168 divisors, whose sum is σ = 53670708. Its totient is φ = 4718592.

The previous prime is 16293883. The next prime is 16293889. The reversal of 16293888 is 88839261.

It can be written as a sum of positive squares in 2 ways, for example, as 16257024 + 36864 = 4032^2 + 192^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16293881) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 958456 + ... + 958472.

Almost surely, 216293888 is an apocalyptic number.

16293888 is a gapful number since it is divisible by the number (18) 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 16293888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26835354).

16293888 is an abundant number, since it is smaller than the sum of its proper divisors (37376820).

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

16293888 is a wasteful number, since it uses less digits than its factorization.

16293888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 35 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 16293888 is about 4036.5688399927. The cubic root of 16293888 is about 253.5176743860.

The spelling of 16293888 in words is "sixteen million, two hundred ninety-three thousand, eight hundred eighty-eight".