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258491904 = 2931115299
BaseRepresentation
bin11110110100001…
…00011000000000
3200000101202020020
433122010120000
51012133220104
641352213440
76256100466
oct1732043000
9600352206
10258491904
11122a03880
127269a280
13417269b8
142648a836
1517a602d9
hexf684600

258491904 has 80 divisors (see below), whose sum is σ = 751291200. Its totient is φ = 78325760.

The previous prime is 258491873. The next prime is 258491911. The reversal of 258491904 is 409194852.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9247 + ... + 24545.

It is an arithmetic number, because the mean of its divisors is an integer number (9391140).

Almost surely, 2258491904 is an apocalyptic number.

258491904 is a gapful number since it is divisible by the number (24) 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 258491904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375645600).

258491904 is an abundant number, since it is smaller than the sum of its proper divisors (492799296).

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

258491904 is a wasteful number, since it uses less digits than its factorization.

258491904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15331 (or 15315 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 258491904 is about 16077.6834152187. The cubic root of 258491904 is about 637.0140068406.

The spelling of 258491904 in words is "two hundred fifty-eight million, four hundred ninety-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1056 1408 1536 2112 2816 4224 5632 8448 15299 16896 30598 45897 61196 91794 122392 168289 183588 244784 336578 367176 489568 504867 673156 734352 979136 1009734 1346312 1468704 1958272 2019468 2692624 2937408 3916544 4038936 5385248 5874816 7833088 8077872 10770496 11749632 16155744 21540992 23499264 32311488 43081984 64622976 86163968 129245952 258491904