Search a number
-
+
256053468 = 2231137103509
BaseRepresentation
bin11110100001100…
…01000011011100
3122211210212022210
433100301003130
51011022202333
641224040420
76226263366
oct1720610334
9584725283
10256053468
11121598840
1271903110
1341081b38
1426013d36
151772ca63
hexf4310dc

256053468 has 96 divisors (see below), whose sum is σ = 677214720. Its totient is φ = 74615040.

The previous prime is 256053467. The next prime is 256053491. The reversal of 256053468 is 864350652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256053467) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 502798 + ... + 503306.

It is an arithmetic number, because the mean of its divisors is an integer number (7054320).

Almost surely, 2256053468 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 256053468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338607360).

256053468 is an abundant number, since it is smaller than the sum of its proper divisors (421161252).

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

256053468 is a wasteful number, since it uses less digits than its factorization.

256053468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The square root of 256053468 is about 16001.6707877646. The cubic root of 256053468 is about 635.0046235222.

The spelling of 256053468 in words is "two hundred fifty-six million, fifty-three thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 103 111 132 148 206 222 309 407 412 444 509 618 814 1018 1133 1221 1236 1527 1628 2036 2266 2442 3054 3399 3811 4532 4884 5599 6108 6798 7622 11198 11433 13596 15244 16797 18833 22396 22866 33594 37666 41921 45732 52427 56499 67188 75332 83842 104854 112998 125763 157281 167684 207163 209708 225996 251526 314562 414326 503052 576697 621489 629124 828652 1153394 1242978 1730091 1939799 2306788 2485956 3460182 3879598 5819397 6920364 7759196 11638794 21337789 23277588 42675578 64013367 85351156 128026734 256053468