Search a number
-
+
256842840 = 23352393059
BaseRepresentation
bin11110100111100…
…01110001011000
3122220021222010210
433103301301120
51011222432330
641253011120
76236061642
oct1723616130
9586258123
10256842840
11121a87911
1272023aa0
134129a217
142617b892
15178368b0
hexf4f1c58

256842840 has 64 divisors (see below), whose sum is σ = 804038400. Its totient is φ = 65512832.

The previous prime is 256842809. The next prime is 256842841. The reversal of 256842840 is 48248652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256842841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43770 + ... + 49289.

It is an arithmetic number, because the mean of its divisors is an integer number (12563100).

Almost surely, 2256842840 is an apocalyptic number.

256842840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256842840 is an abundant number, since it is smaller than the sum of its proper divisors (547195560).

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

256842840 is a wasteful number, since it uses less digits than its factorization.

256842840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93096 (or 93092 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 256842840 is about 16026.3171065594. The cubic root of 256842840 is about 635.6564934327.

The spelling of 256842840 in words is "two hundred fifty-six million, eight hundred forty-two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 93059 186118 279177 372236 465295 558354 744472 930590 1116708 1395885 1861180 2140357 2233416 2791770 3722360 4280714 5583540 6421071 8561428 10701785 11167080 12842142 17122856 21403570 25684284 32105355 42807140 51368568 64210710 85614280 128421420 256842840