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256473 = 3372359
BaseRepresentation
bin111110100111011001
3111000211000
4332213121
531201343
65255213
72115510
oct764731
9430730
10256473
11165768
12104509
138c979
1469677
1550ed3
hex3e9d9

256473 has 32 divisors (see below), whose sum is σ = 460800. Its totient is φ = 137808.

The previous prime is 256471. The next prime is 256483. The reversal of 256473 is 374652.

It is a happy number.

It is not a de Polignac number, because 256473 - 21 = 256471 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

256473 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 256473.

It is not an unprimeable number, because it can be changed into a prime (256471) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4318 + ... + 4376.

It is an arithmetic number, because the mean of its divisors is an integer number (14400).

2256473 is an apocalyptic number.

256473 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

256473 is a deficient number, since it is larger than the sum of its proper divisors (204327).

256473 is a wasteful number, since it uses less digits than its factorization.

256473 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 92 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 256473 is about 506.4316340830. The cubic root of 256473 is about 63.5351243048.

It can be divided in two parts, 256 and 473, that added together give a 6-th power (729 = 36).

The spelling of 256473 in words is "two hundred fifty-six thousand, four hundred seventy-three".

Divisors: 1 3 7 9 21 23 27 59 63 69 161 177 189 207 413 483 531 621 1239 1357 1449 1593 3717 4071 4347 9499 11151 12213 28497 36639 85491 256473