Search a number
-
+
258734752 = 2529278809
BaseRepresentation
bin11110110101111…
…11101010100000
3200000212002100121
433122333222200
51012214003002
641401330024
76261131503
oct1732775240
9600762317
10258734752
1112305a281
1272796914
13417b03b3
142651113a
1517aac237
hexf6bfaa0

258734752 has 24 divisors (see below), whose sum is σ = 526950900. Its totient is φ = 124905984.

The previous prime is 258734719. The next prime is 258734753. The reversal of 258734752 is 257437852.

It can be written as a sum of positive squares in 2 ways, for example, as 220344336 + 38390416 = 14844^2 + 6196^2 .

It is a junction number, because it is equal to n+sod(n) for n = 258734699 and 258734708.

It is not an unprimeable number, because it can be changed into a prime (258734753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 138477 + ... + 140332.

Almost surely, 2258734752 is an apocalyptic number.

It is an amenable number.

258734752 is an abundant number, since it is smaller than the sum of its proper divisors (268216148).

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

258734752 is a wasteful number, since it uses less digits than its factorization.

258734752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278848 (or 278840 counting only the distinct ones).

The product of its digits is 470400, while the sum is 43.

The square root of 258734752 is about 16085.2339740521. The cubic root of 258734752 is about 637.2134317295.

It can be divided in two parts, 25873 and 4752, that added together give a square (30625 = 1752).

The spelling of 258734752 in words is "two hundred fifty-eight million, seven hundred thirty-four thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 278809 557618 1115236 2230472 4460944 8085461 8921888 16170922 32341844 64683688 129367376 258734752