Search a number
-
+
258644920 = 2356466123
BaseRepresentation
bin11110110101010…
…01101110111000
3200000200112010111
433122221232320
51012203114140
641355354104
76260305552
oct1732515670
9600615114
10258644920
11122aa8836
1272752934
134177b541
14264ca4d2
1517a907ea
hexf6a9bb8

258644920 has 16 divisors (see below), whose sum is σ = 581951160. Its totient is φ = 103457952.

The previous prime is 258644917. The next prime is 258644921. The reversal of 258644920 is 29446852.

It is a super-3 number, since 3×2586449203 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 6466123 = 258644920 / (2 + 5 + 8 + 6 + 4 + 4 + 9 + 2 + 0).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258644921) 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, 3233022 + ... + 3233101.

Almost surely, 2258644920 is an apocalyptic number.

258644920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258644920 is an abundant number, since it is smaller than the sum of its proper divisors (323306240).

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

258644920 is a wasteful number, since it uses less digits than its factorization.

258644920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6466134 (or 6466130 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 258644920 is about 16082.4413569582. The cubic root of 258644920 is about 637.1396769380.

The spelling of 258644920 in words is "two hundred fifty-eight million, six hundred forty-four thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 6466123 12932246 25864492 32330615 51728984 64661230 129322460 258644920