Search a number
-
+
2026440256 = 261723312
BaseRepresentation
bin111100011001001…
…0000011001000000
312020020002211102211
41320302100121000
513122232042011
6533025351504
7101134313041
oct17062203100
95206084384
102026440256
1194a966615
12486798594
13263aa3c99
141531bc8c8
15bcd86b21
hex78c90640

2026440256 has 63 divisors (see below), whose sum is σ = 4284618177. Its totient is φ = 950737920.

The previous prime is 2026440253. The next prime is 2026440281. The reversal of 2026440256 is 6520446202.

The square root of 2026440256 is 45016.

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., 1577678400 + 448761856 = 39720^2 + 21184^2 .

It is a super-2 number, since 2×20264402562 = 8212920222274691072, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2026440253) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 6122011 + ... + 6122341.

Almost surely, 22026440256 is an apocalyptic number.

2026440256 is the 45016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2026440256

2026440256 is an abundant number, since it is smaller than the sum of its proper divisors (2258177921).

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

2026440256 is an frugal number, since it uses more digits than its factorization.

2026440256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The cubic root of 2026440256 is about 1265.4488673542.

Adding to 2026440256 its reverse (6520446202), we get a palindrome (8546886458).

The spelling of 2026440256 in words is "two billion, twenty-six million, four hundred forty thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 289 331 544 578 662 1088 1156 1324 2312 2648 4624 5296 5627 9248 10592 11254 18496 21184 22508 45016 90032 95659 109561 180064 191318 219122 360128 382636 438244 765272 876488 1530544 1752976 1862537 3061088 3505952 3725074 6122176 7011904 7450148 14900296 29800592 31663129 59601184 63326258 119202368 126652516 253305032 506610064 1013220128 2026440256