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666432416 = 251311314177
BaseRepresentation
bin100111101110001…
…111001110100000
31201110000021102002
4213232033032200
52331101314131
6150043543132
722341403436
oct4756171640
91643007362
10666432416
113122025a1
1216722aaa8
13a80b8610
146471ad56
153d7916cb
hex27b8f3a0

666432416 has 48 divisors (see below), whose sum is σ = 1425569544. Its totient is φ = 304840704.

The previous prime is 666432379. The next prime is 666432433. The reversal of 666432416 is 614234666.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 481363600 + 185068816 = 21940^2 + 13604^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 666432416.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39920 + ... + 54096.

Almost surely, 2666432416 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 666432416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712784772).

666432416 is an abundant number, since it is smaller than the sum of its proper divisors (759137128).

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

666432416 is a wasteful number, since it uses less digits than its factorization.

666432416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14313 (or 14305 counting only the distinct ones).

The product of its digits is 124416, while the sum is 38.

The square root of 666432416 is about 25815.3523315100. The cubic root of 666432416 is about 873.4781343468.

The spelling of 666432416 in words is "six hundred sixty-six million, four hundred thirty-two thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 104 113 208 226 416 452 904 1469 1808 2938 3616 5876 11752 14177 23504 28354 47008 56708 113416 184301 226832 368602 453664 737204 1474408 1602001 2948816 3204002 5897632 6408004 12816008 20826013 25632016 41652026 51264032 83304052 166608104 333216208 666432416