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258904960 = 275404539
BaseRepresentation
bin11110110111010…
…01001110000000
3200001011201211121
433123221032000
51012234424320
641405122024
76262440646
oct1733511600
9601151747
10258904960
11123166146
1272859314
134183ca02
1426557196
1517ae28aa
hexf6e9380

258904960 has 32 divisors (see below), whose sum is σ = 618946200. Its totient is φ = 103561728.

The previous prime is 258904957. The next prime is 258904967. The reversal of 258904960 is 69409852.

258904960 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258904967) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 201630 + ... + 202909.

Almost surely, 2258904960 is an apocalyptic number.

258904960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258904960 is an abundant number, since it is smaller than the sum of its proper divisors (360041240).

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

258904960 is an equidigital number, since it uses as much as digits as its factorization.

258904960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404558 (or 404546 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The square root of 258904960 is about 16090.5239193757. The cubic root of 258904960 is about 637.3531308467.

The spelling of 258904960 in words is "two hundred fifty-eight million, nine hundred four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 404539 809078 1618156 2022695 3236312 4045390 6472624 8090780 12945248 16181560 25890496 32363120 51780992 64726240 129452480 258904960