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254944 = 2531257
BaseRepresentation
bin111110001111100000
3110221201101
4332033200
531124234
65244144
72111164
oct761740
9427641
10254944
111645a8
12103654
138c071
1468ca4
1550814
hex3e3e0

254944 has 24 divisors (see below), whose sum is σ = 520128. Its totient is φ = 122880.

The previous prime is 254941. The next prime is 254959. The reversal of 254944 is 449452.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254941) 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, 864 + ... + 1120.

It is an arithmetic number, because the mean of its divisors is an integer number (21672).

2254944 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 254944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260064).

254944 is an abundant number, since it is smaller than the sum of its proper divisors (265184).

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

254944 is a wasteful number, since it uses less digits than its factorization.

254944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 290 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

The square root of 254944 is about 504.9197956111. The cubic root of 254944 is about 63.4086146978.

It can be divided in two parts, 2 and 54944, that added together give a triangular number (54946 = T331).

The spelling of 254944 in words is "two hundred fifty-four thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 124 248 257 496 514 992 1028 2056 4112 7967 8224 15934 31868 63736 127472 254944