Search a number
-
+
16826404 = 22722932
BaseRepresentation
bin100000000110…
…0000000100100
31011122212111011
41000030000210
513301421104
61400352004
7263010400
oct100140044
934585434
1016826404
119552a21
125775604
133641a6a
142340100
151725904
hex100c024

16826404 has 27 divisors (see below), whose sum is σ = 34371057. Its totient is φ = 7186704.

The previous prime is 16826401. The next prime is 16826417. The reversal of 16826404 is 40462861.

The square root of 16826404 is 4102.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 15920100 + 906304 = 3990^2 + 952^2 .

It is not an unprimeable number, because it can be changed into a prime (16826401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 57282 + ... + 57574.

Almost surely, 216826404 is an apocalyptic number.

16826404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

16826404 is the 4102-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16826404

16826404 is an abundant number, since it is smaller than the sum of its proper divisors (17544653).

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

16826404 is an equidigital number, since it uses as much as digits as its factorization.

16826404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The cubic root of 16826404 is about 256.2499390045.

Multiplying 16826404 by its product of nonzero digits (9216), we get a square (155072139264 = 3937922).

The spelling of 16826404 in words is "sixteen million, eight hundred twenty-six thousand, four hundred four".

Divisors: 1 2 4 7 14 28 49 98 196 293 586 1172 2051 4102 8204 14357 28714 57428 85849 171698 343396 600943 1201886 2403772 4206601 8413202 16826404