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66649060 = 22517531901
BaseRepresentation
bin1111111000111…
…1101111100100
311122102010022201
43332033233210
5114030232220
610340304244
71436336062
oct376175744
9148363281
1066649060
1134692475
121a3a2084
1310a6751a
148bcd032
155cb7d0a
hex3f8fbe4

66649060 has 24 divisors (see below), whose sum is σ = 140116536. Its totient is φ = 26630400.

The previous prime is 66649043. The next prime is 66649069. The reversal of 66649060 is 6094666.

It can be written as a sum of positive squares in 4 ways, for example, as 3541924 + 63107136 = 1882^2 + 7944^2 .

It is not an unprimeable number, because it can be changed into a prime (66649069) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34110 + ... + 36010.

It is an arithmetic number, because the mean of its divisors is an integer number (5838189).

Almost surely, 266649060 is an apocalyptic number.

It is an amenable number.

66649060 is an abundant number, since it is smaller than the sum of its proper divisors (73467476).

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

66649060 is a wasteful number, since it uses less digits than its factorization.

66649060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3663 (or 3661 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The square root of 66649060 is about 8163.8875543457. The cubic root of 66649060 is about 405.4444341276. Note that the first 4 decimals are identical.

The spelling of 66649060 in words is "sixty-six million, six hundred forty-nine thousand, sixty".

Divisors: 1 2 4 5 10 20 1753 1901 3506 3802 7012 7604 8765 9505 17530 19010 35060 38020 3332453 6664906 13329812 16662265 33324530 66649060