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66486200 = 23521147643
BaseRepresentation
bin1111110110011…
…1111110111000
311122002211220212
43331213332320
5114010024300
610333010252
71435060214
oct375477670
9148084825
1066486200
1134591080
121a323988
1310a0b361
148b89944
155c84935
hex3f67fb8

66486200 has 96 divisors (see below), whose sum is σ = 172488960. Its totient is φ = 23625600.

The previous prime is 66486197. The next prime is 66486223. The reversal of 66486200 is 268466.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103079 + ... + 103721.

It is an arithmetic number, because the mean of its divisors is an integer number (1796760).

Almost surely, 266486200 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 66486200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86244480).

66486200 is an abundant number, since it is smaller than the sum of its proper divisors (106002760).

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

66486200 is a wasteful number, since it uses less digits than its factorization.

66486200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 66486200 is about 8153.9070389599. The cubic root of 66486200 is about 405.1139241567.

The spelling of 66486200 in words is "sixty-six million, four hundred eighty-six thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 47 50 55 88 94 100 110 188 200 220 235 275 376 440 470 517 550 643 940 1034 1100 1175 1286 1880 2068 2200 2350 2572 2585 3215 4136 4700 5144 5170 6430 7073 9400 10340 12860 12925 14146 16075 20680 25720 25850 28292 30221 32150 35365 51700 56584 60442 64300 70730 103400 120884 128600 141460 151105 176825 241768 282920 302210 332431 353650 604420 664862 707300 755525 1208840 1329724 1414600 1511050 1662155 2659448 3022100 3324310 6044200 6648620 8310775 13297240 16621550 33243100 66486200