Search a number
-
+
56805000 = 233547541
BaseRepresentation
bin1101100010110…
…0011010001000
310221212222210220
43120230122020
5104020230000
65345310040
71256556150
oct330543210
9127788726
1056805000
112a07948a
1217035320
13b9cb935
147789760
154ec11a0
hex362c688

56805000 has 160 divisors (see below), whose sum is σ = 203184960. Its totient is φ = 12960000.

The previous prime is 56804983. The next prime is 56805019. The reversal of 56805000 is 50865.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 104730 + ... + 105270.

It is an arithmetic number, because the mean of its divisors is an integer number (1269906).

Almost surely, 256805000 is an apocalyptic number.

56805000 is a gapful number since it is divisible by the number (50) 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 56805000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101592480).

56805000 is an abundant number, since it is smaller than the sum of its proper divisors (146379960).

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

56805000 is a wasteful number, since it uses less digits than its factorization.

56805000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 56805000 is about 7536.9091808247. The cubic root of 56805000 is about 384.4107475511.

Adding to 56805000 its reverse (50865), we get a palindrome (56855865).

The spelling of 56805000 in words is "fifty-six million, eight hundred five thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 125 140 150 168 175 200 210 250 280 300 350 375 420 500 525 541 600 625 700 750 840 875 1000 1050 1082 1250 1400 1500 1623 1750 1875 2100 2164 2500 2625 2705 3000 3246 3500 3750 3787 4200 4328 4375 5000 5250 5410 6492 7000 7500 7574 8115 8750 10500 10820 11361 12984 13125 13525 15000 15148 16230 17500 18935 21000 21640 22722 26250 27050 30296 32460 35000 37870 40575 45444 52500 54100 56805 64920 67625 75740 81150 90888 94675 105000 108200 113610 135250 151480 162300 189350 202875 227220 270500 284025 324600 338125 378700 405750 454440 473375 541000 568050 676250 757400 811500 946750 1014375 1136100 1352500 1420125 1623000 1893500 2028750 2272200 2366875 2705000 2840250 3787000 4057500 4733750 5680500 7100625 8115000 9467500 11361000 14201250 18935000 28402500 56805000