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258930896 = 2472477027
BaseRepresentation
bin11110110111011…
…11100011010000
3200001020001102012
433123233203100
51012241242041
641405442052
76262606400
oct1733574320
9601201365
10258930896
11123183684
1272870328
134184b763
1426562800
1517aea3eb
hexf6ef8d0

258930896 has 60 divisors (see below), whose sum is σ = 596086848. Its totient is φ = 108593856.

The previous prime is 258930883. The next prime is 258930899. The reversal of 258930896 is 698039852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258930899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33335 + ... + 40361.

Almost surely, 2258930896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258930896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298043424).

258930896 is an abundant number, since it is smaller than the sum of its proper divisors (337155952).

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

258930896 is a wasteful number, since it uses less digits than its factorization.

258930896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7096 (or 7083 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 50.

The square root of 258930896 is about 16091.3298393887. The cubic root of 258930896 is about 637.3744125799.

The spelling of 258930896 in words is "two hundred fifty-eight million, nine hundred thirty thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 47 49 56 94 98 112 188 196 329 376 392 658 752 784 1316 2303 2632 4606 5264 7027 9212 14054 18424 28108 36848 49189 56216 98378 112432 196756 330269 344323 393512 660538 688646 787024 1321076 1377292 2311883 2642152 2754584 4623766 5284304 5509168 9247532 16183181 18495064 32366362 36990128 64732724 129465448 258930896