Search a number
-
+
255368512 = 2671921579
BaseRepresentation
bin11110011100010…
…01110101000000
3122210112001202001
433032021311000
51010333243022
641201233344
76220411420
oct1716116500
9583461661
10255368512
11121170163
1271632854
1340ba2139
1425cb6480
1517644b27
hexf389d40

255368512 has 84 divisors (see below), whose sum is σ = 611611680. Its totient is φ = 103617792.

The previous prime is 255368497. The next prime is 255368521. The reversal of 255368512 is 215863552.

It is a happy number.

255368512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 160939 + ... + 162517.

Almost surely, 2255368512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255368512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305805840).

255368512 is an abundant number, since it is smaller than the sum of its proper divisors (356243168).

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

255368512 is a wasteful number, since it uses less digits than its factorization.

255368512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636 (or 1607 counting only the distinct ones).

The product of its digits is 72000, while the sum is 37.

The square root of 255368512 is about 15980.2538152559. The cubic root of 255368512 is about 634.4378946984.

The spelling of 255368512 in words is "two hundred fifty-five million, three hundred sixty-eight thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 152 224 266 304 361 448 532 608 722 1064 1216 1444 1579 2128 2527 2888 3158 4256 5054 5776 6316 8512 10108 11053 11552 12632 20216 22106 23104 25264 30001 40432 44212 50528 60002 80864 88424 101056 120004 161728 176848 210007 240008 353696 420014 480016 570019 707392 840028 960032 1140038 1680056 1920064 2280076 3360112 3990133 4560152 6720224 7980266 9120304 13440448 15960532 18240608 31921064 36481216 63842128 127684256 255368512