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258243860 = 22572517349
BaseRepresentation
bin11110110010001…
…11110100010100
3122222221010222102
433121013310110
51012102300420
641343021232
76254015360
oct1731076424
9588833872
10258243860
11122854486
127259a818
134166ab24
14264242a0
1517a11a75
hexf647d14

258243860 has 48 divisors (see below), whose sum is σ = 622339200. Its totient is φ = 88176000.

The previous prime is 258243859. The next prime is 258243863. The reversal of 258243860 is 68342852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258243863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31466 + ... + 38814.

It is an arithmetic number, because the mean of its divisors is an integer number (12965400).

Almost surely, 2258243860 is an apocalyptic number.

258243860 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258243860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311169600).

258243860 is an abundant number, since it is smaller than the sum of its proper divisors (364095340).

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

258243860 is a wasteful number, since it uses less digits than its factorization.

258243860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7616 (or 7614 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The square root of 258243860 is about 16069.9676415356. The cubic root of 258243860 is about 636.8101860540.

The spelling of 258243860 in words is "two hundred fifty-eight million, two hundred forty-three thousand, eight hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 251 502 1004 1255 1757 2510 3514 5020 7028 7349 8785 14698 17570 29396 35140 36745 51443 73490 102886 146980 205772 257215 514430 1028860 1844599 3689198 7378396 9222995 12912193 18445990 25824386 36891980 51648772 64560965 129121930 258243860