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258048 = 212327
BaseRepresentation
bin111111000000000000
3111002222100
4333000000
531224143
65310400
72123220
oct770000
9432870
10258048
1116696a
12105400
13905bb
146a080
15516d3
hex3f000

258048 has 78 divisors (see below), whose sum is σ = 851864. Its totient is φ = 73728.

The previous prime is 258031. The next prime is 258061. The reversal of 258048 is 840852.

258048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 2, base 4 and base 8.

It is a zygodrome in base 2, base 4 and base 8.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 258048.

It is an unprimeable number.

258048 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36861 + ... + 36867.

258048 is a Friedman number, since it can be written as 8^(5+2^0)-8^4, using all its digits and the basic arithmetic operations.

2258048 is an apocalyptic number.

258048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425932).

258048 is an abundant number, since it is smaller than the sum of its proper divisors (593816).

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

258048 is an equidigital number, since it uses as much as digits as its factorization.

258048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 258048 is about 507.9842517244. The cubic root of 258048 is about 63.6649153263.

It can be divided in two parts, 2580 and 48, that added together give a triangular number (2628 = T72).

The spelling of 258048 in words is "two hundred fifty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2048 2304 2688 3072 3584 4032 4096 4608 5376 6144 7168 8064 9216 10752 12288 14336 16128 18432 21504 28672 32256 36864 43008 64512 86016 129024 258048