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256424 = 23719241
BaseRepresentation
bin111110100110101000
3111000202012
4332212220
531201144
65255052
72115410
oct764650
9430665
10256424
11165723
12104488
138c93c
1469640
1550e9e
hex3e9a8

256424 has 32 divisors (see below), whose sum is σ = 580800. Its totient is φ = 103680.

The previous prime is 256423. The next prime is 256441. The reversal of 256424 is 424652.

It is a self number, because there is not a number n which added to its sum of digits gives 256424.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 256424.

It is not an unprimeable number, because it can be changed into a prime (256423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 944 + ... + 1184.

It is an arithmetic number, because the mean of its divisors is an integer number (18150).

2256424 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 256424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290400).

256424 is an abundant number, since it is smaller than the sum of its proper divisors (324376).

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

256424 is a wasteful number, since it uses less digits than its factorization.

256424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 269 counting only the distinct ones).

The product of its digits is 1920, while the sum is 23.

The square root of 256424 is about 506.3832540675. The cubic root of 256424 is about 63.5310778497.

The spelling of 256424 in words is "two hundred fifty-six thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 241 266 482 532 964 1064 1687 1928 3374 4579 6748 9158 13496 18316 32053 36632 64106 128212 256424