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663663492 = 2232291574049
BaseRepresentation
bin100111100011101…
…011001110000100
31201020210121011100
4213203223032010
52324344212432
6145504340100
722306021662
oct4743531604
91636717140
10663663492
11310691228
12166314630
13a76591bb
14641d9c32
153d3e607c
hex278eb384

663663492 has 72 divisors (see below), whose sum is σ = 1746927000. Its totient is φ = 212179968.

The previous prime is 663663479. The next prime is 663663499. The reversal of 663663492 is 294366366.

It is a happy number.

663663492 is a `hidden beast` number, since 6 + 6 + 3 + 6 + 634 + 9 + 2 = 666.

663663492 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 17690436 + 645973056 = 4206^2 + 25416^2 .

It is a super-2 number, since 2×6636634922 = 880898461227268128, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (663663499) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161884 + ... + 165932.

It is an arithmetic number, because the mean of its divisors is an integer number (24262875).

Almost surely, 2663663492 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 663663492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873463500).

663663492 is an abundant number, since it is smaller than the sum of its proper divisors (1083263508).

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

663663492 is a wasteful number, since it uses less digits than its factorization.

663663492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4245 (or 4240 counting only the distinct ones).

The product of its digits is 839808, while the sum is 45.

The square root of 663663492 is about 25761.6671044403. The cubic root of 663663492 is about 872.2667327132.

The spelling of 663663492 in words is "six hundred sixty-three million, six hundred sixty-three thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 157 174 261 314 348 471 522 628 942 1044 1413 1884 2826 4049 4553 5652 8098 9106 12147 13659 16196 18212 24294 27318 36441 40977 48588 54636 72882 81954 117421 145764 163908 234842 352263 469684 635693 704526 1056789 1271386 1409052 1907079 2113578 2542772 3814158 4227156 5721237 7628316 11442474 18435097 22884948 36870194 55305291 73740388 110610582 165915873 221221164 331831746 663663492