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258128928 = 2532896281
BaseRepresentation
bin11110110001010…
…11110000100000
3122222201022022200
433120223300200
51012040111203
641340333200
76253026321
oct1730536040
9588638280
10258128928
111227860a2
1272544200
134162a715
14263d4448
15179dc9a3
hexf62bc20

258128928 has 36 divisors (see below), whose sum is σ = 734054958. Its totient is φ = 86042880.

The previous prime is 258128911. The next prime is 258128939. The reversal of 258128928 is 829821852.

It can be written as a sum of positive squares in only one way, i.e., 211179024 + 46949904 = 14532^2 + 6852^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 447853 + ... + 448428.

Almost surely, 2258128928 is an apocalyptic number.

It is an amenable number.

258128928 is an abundant number, since it is smaller than the sum of its proper divisors (475926030).

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

258128928 is a wasteful number, since it uses less digits than its factorization.

258128928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896297 (or 896286 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The square root of 258128928 is about 16066.3912562840. The cubic root of 258128928 is about 636.7157007759.

The spelling of 258128928 in words is "two hundred fifty-eight million, one hundred twenty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 896281 1792562 2688843 3585124 5377686 7170248 8066529 10755372 14340496 16133058 21510744 28680992 32266116 43021488 64532232 86042976 129064464 258128928