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66063392 = 2529257277
BaseRepresentation
bin1111110000000…
…0110000100000
311121022100221022
43330000300200
5113403012032
610315545012
71431346433
oct374006040
9147270838
1066063392
113432244a
121a15b168
13108c0a85
148ab981a
155bee512
hex3f00c20

66063392 has 48 divisors (see below), whose sum is σ = 135558360. Its totient is φ = 31653888.

The previous prime is 66063391. The next prime is 66063397. The reversal of 66063392 is 29336066.

It can be written as a sum of positive squares in 4 ways, for example, as 62663056 + 3400336 = 7916^2 + 1844^2 .

It is not an unprimeable number, because it can be changed into a prime (66063391) 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, 238358 + ... + 238634.

Almost surely, 266063392 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 66063392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67779180).

66063392 is an abundant number, since it is smaller than the sum of its proper divisors (69494968).

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

66063392 is a wasteful number, since it uses less digits than its factorization.

66063392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 35.

The square root of 66063392 is about 8127.9389761489. The cubic root of 66063392 is about 404.2533456538.

The spelling of 66063392 in words is "sixty-six million, sixty-three thousand, three hundred ninety-two".

Divisors: 1 2 4 8 16 29 32 58 116 232 257 277 464 514 554 928 1028 1108 2056 2216 4112 4432 7453 8033 8224 8864 14906 16066 29812 32132 59624 64264 71189 119248 128528 142378 238496 257056 284756 569512 1139024 2064481 2278048 4128962 8257924 16515848 33031696 66063392