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663825440 = 2554148909
BaseRepresentation
bin100111100100010…
…010110000100000
31201021002211022102
4213210102300200
52324414403230
6145512025532
722310265065
oct4744226040
91637084272
10663825440
11310791973
121663922a8
13a76b4b25
146423cc6c
153d429045
hex27912c20

663825440 has 24 divisors (see below), whose sum is σ = 1568287980. Its totient is φ = 265530112.

The previous prime is 663825431. The next prime is 663825479. The reversal of 663825440 is 44528366.

It can be written as a sum of positive squares in 2 ways, for example, as 651066256 + 12759184 = 25516^2 + 3572^2 .

It is a junction number, because it is equal to n+sod(n) for n = 663825394 and 663825403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2074295 + ... + 2074614.

Almost surely, 2663825440 is an apocalyptic number.

It is an amenable number.

663825440 is an abundant number, since it is smaller than the sum of its proper divisors (904462540).

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

663825440 is a wasteful number, since it uses less digits than its factorization.

663825440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4148924 (or 4148916 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The square root of 663825440 is about 25764.8101099154. The cubic root of 663825440 is about 872.3376774846.

The spelling of 663825440 in words is "six hundred sixty-three million, eight hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 4148909 8297818 16595636 20744545 33191272 41489090 66382544 82978180 132765088 165956360 331912720 663825440