Search a number
-
+
258966016 = 292321991
BaseRepresentation
bin11110110111110…
…00001000000000
3200001021211120221
433123320020000
51012243403031
641410312424
76263113651
oct1733701000
9601254527
10258966016
111231a8001
1272888714
134186173a
1426571528
1517b05a11
hexf6f8200

258966016 has 40 divisors (see below), whose sum is σ = 539947584. Its totient is φ = 123847680.

The previous prime is 258966011. The next prime is 258966047. The reversal of 258966016 is 610669852.

258966016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (258966011) 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, 781 + ... + 22771.

Almost surely, 2258966016 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 258966016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269973792).

258966016 is an abundant number, since it is smaller than the sum of its proper divisors (280981568).

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

258966016 is an equidigital number, since it uses as much as digits as its factorization.

258966016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22032 (or 22016 counting only the distinct ones).

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

The square root of 258966016 is about 16092.4210732879. The cubic root of 258966016 is about 637.4032279611.

The spelling of 258966016 in words is "two hundred fifty-eight million, nine hundred sixty-six thousand, sixteen".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 512 736 1472 2944 5888 11776 21991 43982 87964 175928 351856 505793 703712 1011586 1407424 2023172 2814848 4046344 5629696 8092688 11259392 16185376 32370752 64741504 129483008 258966016