Search a number
-
+
64813000 = 2353747197
BaseRepresentation
bin1111011100111…
…1011111001000
311111221211201111
43313033133020
5113043004000
610233100104
71414621120
oct367173710
9144854644
1064813000
1133648a6a
1219857634
13105738b5
148871c80
155a53cba
hex3dcf7c8

64813000 has 128 divisors (see below), whose sum is σ = 177914880. Its totient is φ = 21638400.

The previous prime is 64812991. The next prime is 64813019. The reversal of 64813000 is 31846.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328902 + ... + 329098.

It is an arithmetic number, because the mean of its divisors is an integer number (1389960).

Almost surely, 264813000 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 64813000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88957440).

64813000 is an abundant number, since it is smaller than the sum of its proper divisors (113101880).

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

64813000 is a wasteful number, since it uses less digits than its factorization.

64813000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 64813000 is about 8050.6521474971. The cubic root of 64813000 is about 401.6866282174.

Adding to 64813000 its reverse (31846), we get a palindrome (64844846).

The spelling of 64813000 in words is "sixty-four million, eight hundred thirteen thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 47 50 56 70 94 100 125 140 175 188 197 200 235 250 280 329 350 376 394 470 500 658 700 788 875 940 985 1000 1175 1316 1379 1400 1576 1645 1750 1880 1970 2350 2632 2758 3290 3500 3940 4700 4925 5516 5875 6580 6895 7000 7880 8225 9259 9400 9850 11032 11750 13160 13790 16450 18518 19700 23500 24625 27580 32900 34475 37036 39400 41125 46295 47000 49250 55160 64813 65800 68950 74072 82250 92590 98500 129626 137900 164500 172375 185180 197000 231475 259252 275800 324065 329000 344750 370360 462950 518504 648130 689500 925900 1157375 1296260 1379000 1620325 1851800 2314750 2592520 3240650 4629500 6481300 8101625 9259000 12962600 16203250 32406500 64813000