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666812928 = 293538191
BaseRepresentation
bin100111101111101…
…100001000000000
31201110201121101010
4213233230020000
52331201003203
6150100040520
722344550005
oct4757541000
91643647333
10666812928
11312442471
12167393140
13a81bc882
14647b98ac
153d819303
hex27bec200

666812928 has 80 divisors (see below), whose sum is σ = 1810169856. Its totient is φ = 218050560.

The previous prime is 666812917. The next prime is 666812957. The reversal of 666812928 is 829218666.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77313 + ... + 85503.

Almost surely, 2666812928 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 666812928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905084928).

666812928 is an abundant number, since it is smaller than the sum of its proper divisors (1143356928).

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

666812928 is an equidigital number, since it uses as much as digits as its factorization.

666812928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8265 (or 8249 counting only the distinct ones).

The product of its digits is 497664, while the sum is 48.

The square root of 666812928 is about 25822.7211579260. The cubic root of 666812928 is about 873.6443455867.

The spelling of 666812928 in words is "six hundred sixty-six million, eight hundred twelve thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 256 318 384 424 512 636 768 848 1272 1536 1696 2544 3392 5088 6784 8191 10176 13568 16382 20352 24573 27136 32764 40704 49146 65528 81408 98292 131056 196584 262112 393168 434123 524224 786336 868246 1048448 1302369 1572672 1736492 2096896 2604738 3145344 3472984 4193792 5209476 6290688 6945968 10418952 12581376 13891936 20837904 27783872 41675808 55567744 83351616 111135488 166703232 222270976 333406464 666812928