Search a number
-
+
64664000 = 265359137
BaseRepresentation
bin1111011010101…
…1000111000000
311111200021022222
43312223013000
5113023222000
610225550212
71413430532
oct366530700
9144607288
1064664000
1133557025
12197a5368
1310520b2b
148833852
155a24a85
hex3dab1c0

64664000 has 112 divisors (see below), whose sum is σ = 164043360. Its totient is φ = 25241600.

The previous prime is 64663993. The next prime is 64664003. The reversal of 64664000 is 46646.

64664000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64664003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 471932 + ... + 472068.

Almost surely, 264664000 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 64664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82021680).

64664000 is an abundant number, since it is smaller than the sum of its proper divisors (99379360).

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

64664000 is a wasteful number, since it uses less digits than its factorization.

64664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 64664000 is about 8041.3929141661. The cubic root of 64664000 is about 401.3785766909.

It can be divided in two parts, 646 and 64000, that added together give a palindrome (64646).

The spelling of 64664000 in words is "sixty-four million, six hundred sixty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 59 64 80 100 118 125 137 160 200 236 250 274 295 320 400 472 500 548 590 685 800 944 1000 1096 1180 1370 1475 1600 1888 2000 2192 2360 2740 2950 3425 3776 4000 4384 4720 5480 5900 6850 7375 8000 8083 8768 9440 10960 11800 13700 14750 16166 17125 18880 21920 23600 27400 29500 32332 34250 40415 43840 47200 54800 59000 64664 68500 80830 94400 109600 118000 129328 137000 161660 202075 219200 236000 258656 274000 323320 404150 472000 517312 548000 646640 808300 1010375 1096000 1293280 1616600 2020750 2586560 3233200 4041500 6466400 8083000 12932800 16166000 32332000 64664000