Search a number
-
+
26050816 = 28112292
BaseRepresentation
bin110001101100…
…0000100000000
31211000112000001
41203120010000
523132111231
62330205344
7434266621
oct143300400
954015001
1026050816
1113783400
128883854
1355215ac
143661a48
152448b61
hex18d8100

26050816 has 81 divisors (see below), whose sum is σ = 59195773. Its totient is φ = 11432960.

The previous prime is 26050813. The next prime is 26050841. The reversal of 26050816 is 61805062.

The square root of 26050816 is 5104.

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., 13660416 + 12390400 = 3696^2 + 3520^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26050813) 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 8 ways as a sum of consecutive naturals, for example, 898290 + ... + 898318.

Almost surely, 226050816 is an apocalyptic number.

26050816 is the 5104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26050816

26050816 is an abundant number, since it is smaller than the sum of its proper divisors (33144957).

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

26050816 is an equidigital number, since it uses as much as digits as its factorization.

26050816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The cubic root of 26050816 is about 296.4424840590.

Adding to 26050816 its reverse (61805062), we get a palindrome (87855878).

It can be divided in two parts, 260 and 50816, that added together give a square (51076 = 2262).

The spelling of 26050816 in words is "twenty-six million, fifty thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 121 128 176 232 242 256 319 352 464 484 638 704 841 928 968 1276 1408 1682 1856 1936 2552 2816 3364 3509 3712 3872 5104 6728 7018 7424 7744 9251 10208 13456 14036 15488 18502 20416 26912 28072 30976 37004 40832 53824 56144 74008 81664 101761 107648 112288 148016 203522 215296 224576 296032 407044 449152 592064 814088 898304 1184128 1628176 2368256 3256352 6512704 13025408 26050816