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258890368 = 2711183871
BaseRepresentation
bin11110110111001…
…01101010000000
3200001010222211011
433123211222000
51012233442433
641404530304
76262350262
oct1733455200
9601128734
10258890368
11123156190
1272850994
1341836189
1426551b32
1517add3cd
hexf6e5a80

258890368 has 32 divisors (see below), whose sum is σ = 562648320. Its totient is φ = 117676800.

The previous prime is 258890351. The next prime is 258890383. The reversal of 258890368 is 863098852.

258890368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 90528 + ... + 93343.

It is an arithmetic number, because the mean of its divisors is an integer number (17582760).

Almost surely, 2258890368 is an apocalyptic number.

It is an amenable number.

258890368 is an abundant number, since it is smaller than the sum of its proper divisors (303757952).

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

258890368 is a wasteful number, since it uses less digits than its factorization.

258890368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183896 (or 183884 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 49.

The square root of 258890368 is about 16090.0704784038. The cubic root of 258890368 is about 637.3411567854.

The spelling of 258890368 in words is "two hundred fifty-eight million, eight hundred ninety thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 183871 367742 735484 1470968 2022581 2941936 4045162 5883872 8090324 11767744 16180648 23535488 32361296 64722592 129445184 258890368