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66452004 = 22322816569
BaseRepresentation
bin1111110101111…
…1101000100100
311122001010000100
43331133220210
5114002431004
610332144100
71434555423
oct375375044
9148033010
1066452004
1134568413
121a308030
13109c8918
148b7b2ba
155c79739
hex3f5fa24

66452004 has 36 divisors (see below), whose sum is σ = 168599340. Its totient is φ = 22068480.

The previous prime is 66451981. The next prime is 66452027. The reversal of 66452004 is 40025466.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (66451981) and next prime (66452027).

It can be written as a sum of positive squares in 2 ways, for example, as 53144100 + 13307904 = 7290^2 + 3648^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6832 + ... + 13400.

It is an arithmetic number, because the mean of its divisors is an integer number (4683315).

Almost surely, 266452004 is an apocalyptic number.

It is an amenable number.

66452004 is an abundant number, since it is smaller than the sum of its proper divisors (102147336).

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

66452004 is a wasteful number, since it uses less digits than its factorization.

66452004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6860 (or 6855 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 66452004 is about 8151.8098603930. The cubic root of 66452004 is about 405.0444578539.

It can be divided in two parts, 6645 and 2004, that added together give a square (8649 = 932).

The spelling of 66452004 in words is "sixty-six million, four hundred fifty-two thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 281 562 843 1124 1686 2529 3372 5058 6569 10116 13138 19707 26276 39414 59121 78828 118242 236484 1845889 3691778 5537667 7383556 11075334 16613001 22150668 33226002 66452004