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258328872 = 23331770351
BaseRepresentation
bin11110110010111…
…00100100101000
3200000002110121000
433121130210220
51012113010442
641344515000
76254521254
oct1731344450
9600073530
10258328872
1112290233a
127261ba60
134169a729
1426447264
1517a2bd4c
hexf65c928

258328872 has 64 divisors (see below), whose sum is σ = 759801600. Its totient is φ = 81043200.

The previous prime is 258328843. The next prime is 258328879. The reversal of 258328872 is 278823852.

258328872 is a `hidden beast` number, since 258 + 328 + 8 + 72 = 666.

258328872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2583288722 = 133467612217584768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (258328879) 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, 31504 + ... + 38847.

It is an arithmetic number, because the mean of its divisors is an integer number (11871900).

Almost surely, 2258328872 is an apocalyptic number.

It is an amenable number.

258328872 is an abundant number, since it is smaller than the sum of its proper divisors (501472728).

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

258328872 is a wasteful number, since it uses less digits than its factorization.

258328872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70383 (or 70373 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 258328872 is about 16072.6124821076. The cubic root of 258328872 is about 636.8800561478.

The spelling of 258328872 in words is "two hundred fifty-eight million, three hundred twenty-eight thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1224 1836 3672 70351 140702 211053 281404 422106 562808 633159 844212 1195967 1266318 1688424 1899477 2391934 2532636 3587901 3798954 4783868 5065272 7175802 7597908 9567736 10763703 14351604 15195816 21527406 28703208 32291109 43054812 64582218 86109624 129164436 258328872