Search a number
-
+
256047000 = 23353117759
BaseRepresentation
bin11110100001011…
…11011110011000
3122211210112110020
433100233132120
51011022001000
641223550440
76226235466
oct1720573630
9584715406
10256047000
111215939a0
12718bb420
134107bc01
1426011836
151772aba0
hexf42f798

256047000 has 128 divisors (see below), whose sum is σ = 871603200. Its totient is φ = 62064000.

The previous prime is 256046981. The next prime is 256047031. The reversal of 256047000 is 740652.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29121 + ... + 36879.

It is an arithmetic number, because the mean of its divisors is an integer number (6809400).

Almost surely, 2256047000 is an apocalyptic number.

256047000 is a gapful number since it is divisible by the number (20) 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 256047000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435801600).

256047000 is an abundant number, since it is smaller than the sum of its proper divisors (615556200).

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

256047000 is a wasteful number, since it uses less digits than its factorization.

256047000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7794 (or 7780 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 256047000 is about 16001.4686825929. The cubic root of 256047000 is about 634.9992766644. Note that the first 3 decimals are identical.

Adding to 256047000 its reverse (740652), we get a palindrome (256787652).

The spelling of 256047000 in words is "two hundred fifty-six million, forty-seven thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 7759 8250 11000 15518 16500 23277 31036 33000 38795 46554 62072 77590 85349 93108 116385 155180 170698 186216 193975 232770 256047 310360 341396 387950 426745 465540 512094 581925 682792 775900 853490 931080 969875 1024188 1163850 1280235 1551800 1706980 1939750 2048376 2133725 2327700 2560470 2909625 3413960 3879500 4267450 4655400 5120940 5819250 6401175 7759000 8534900 10241880 10668625 11638500 12802350 17069800 21337250 23277000 25604700 32005875 42674500 51209400 64011750 85349000 128023500 256047000