Search a number
-
+
258381018 = 23272734013
BaseRepresentation
bin11110110011010…
…01010011011010
3200000012010010100
433121221103122
51012121143033
641350000230
76255126300
oct1731512332
9600163110
10258381018
11122938535
1272646076
13416b839c
142645c270
1517a3c513
hexf6694da

258381018 has 72 divisors (see below), whose sum is σ = 660311028. Its totient is φ = 72793728.

The previous prime is 258380971. The next prime is 258381029. The reversal of 258381018 is 810183852.

It can be written as a sum of positive squares in 2 ways, for example, as 246081969 + 12299049 = 15687^2 + 3507^2 .

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 62380 + ... + 66392.

Almost surely, 2258381018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258381018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330155514).

258381018 is an abundant number, since it is smaller than the sum of its proper divisors (401930010).

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

258381018 is a wasteful number, since it uses less digits than its factorization.

258381018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4108 (or 4098 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 258381018 is about 16074.2346007516. The cubic root of 258381018 is about 636.9229065820.

The spelling of 258381018 in words is "two hundred fifty-eight million, three hundred eighty-one thousand, eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 73 98 126 146 147 219 294 438 441 511 657 882 1022 1314 1533 3066 3577 4013 4599 7154 8026 9198 10731 12039 21462 24078 28091 32193 36117 56182 64386 72234 84273 168546 196637 252819 292949 393274 505638 585898 589911 878847 1179822 1757694 1769733 2050643 2636541 3539466 4101286 5273082 6151929 12303858 14354501 18455787 28709002 36911574 43063503 86127006 129190509 258381018