Search a number
-
+
258245440 = 265807017
BaseRepresentation
bin11110110010010…
…00001101000000
3122222221020010221
433121020031000
51012102323230
641343032424
76254023105
oct1731101500
9588836127
10258245440
11122855692
127259b714
134166b76b
1426424aac
1517a1227a
hexf648340

258245440 has 28 divisors (see below), whose sum is σ = 614947716. Its totient is φ = 103298048.

The previous prime is 258245437. The next prime is 258245441. The reversal of 258245440 is 44542852.

It can be written as a sum of positive squares in 2 ways, for example, as 64256256 + 193989184 = 8016^2 + 13928^2 .

It is a junction number, because it is equal to n+sod(n) for n = 258245396 and 258245405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258245441) 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 3 ways as a sum of consecutive naturals, for example, 403189 + ... + 403828.

Almost surely, 2258245440 is an apocalyptic number.

258245440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258245440 is an abundant number, since it is smaller than the sum of its proper divisors (356702276).

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

258245440 is an equidigital number, since it uses as much as digits as its factorization.

258245440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807034 (or 807024 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 34.

The square root of 258245440 is about 16070.0168014847. The cubic root of 258245440 is about 636.8114847722.

The spelling of 258245440 in words is "two hundred fifty-eight million, two hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 807017 1614034 3228068 4035085 6456136 8070170 12912272 16140340 25824544 32280680 51649088 64561360 129122720 258245440