Search a number
-
+
664577550 = 2325271316229
BaseRepresentation
bin100111100111001…
…010011000001110
31201022112001000100
4213213022120032
52330112440200
6145540111530
722316546610
oct4747123016
91638461010
10664577550
11311155a4a
121666955a6
13a78b9270
1464396db0
153d526d00
hex279ca60e

664577550 has 144 divisors (see below), whose sum is σ = 2197671840. Its totient is φ = 140209920.

The previous prime is 664577531. The next prime is 664577561. The reversal of 664577550 is 55775466.

664577550 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 664577496 and 664577505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32836 + ... + 49064.

It is an arithmetic number, because the mean of its divisors is an integer number (15261610).

Almost surely, 2664577550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 664577550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098835920).

664577550 is an abundant number, since it is smaller than the sum of its proper divisors (1533094290).

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

664577550 is a wasteful number, since it uses less digits than its factorization.

664577550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16267 (or 16259 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The square root of 664577550 is about 25779.4016610161. The cubic root of 664577550 is about 872.6670041537.

The spelling of 664577550 in words is "six hundred sixty-four million, five hundred seventy-seven thousand, five hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 25 26 30 35 39 42 45 50 63 65 70 75 78 90 91 105 117 126 130 150 175 182 195 210 225 234 273 315 325 350 390 450 455 525 546 585 630 650 819 910 975 1050 1170 1365 1575 1638 1950 2275 2730 2925 3150 4095 4550 5850 6825 8190 13650 16229 20475 32458 40950 48687 81145 97374 113603 146061 162290 210977 227206 243435 292122 340809 405725 421954 486870 568015 632931 681618 730305 811450 1022427 1054885 1136030 1217175 1265862 1460610 1476839 1704045 1898793 2044854 2109770 2434350 2840075 2953678 3164655 3408090 3651525 3797586 4430517 5112135 5274425 5680150 6329310 7303050 7384195 8520225 8861034 9493965 10224270 10548850 13291551 14768390 15823275 17040450 18987930 22152585 25560675 26583102 31646550 36920975 44305170 47469825 51121350 66457755 73841950 94939650 110762925 132915510 221525850 332288775 664577550