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63808668 = 22337117673
BaseRepresentation
bin1111001101101…
…0010010011100
311110001211001000
43303122102130
5112313334133
610155350300
71403236050
oct363322234
9143054030
1063808668
1133022440
1219452390
13102b1711
14868dc60
155906413
hex3cda49c

63808668 has 96 divisors (see below), whose sum is σ = 206277120. Its totient is φ = 16571520.

The previous prime is 63808663. The next prime is 63808673. The reversal of 63808668 is 86680836.

63808668 is a `hidden beast` number, since 638 + 0 + 8 + 6 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (63808663) and next prime (63808673).

It is a super-2 number, since 2×638086682 = 8143092223868448, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63808663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4480 + ... + 12152.

It is an arithmetic number, because the mean of its divisors is an integer number (2148720).

Almost surely, 263808668 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 63808668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103138560).

63808668 is an abundant number, since it is smaller than the sum of its proper divisors (142468452).

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

63808668 is a wasteful number, since it uses less digits than its factorization.

63808668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7704 (or 7696 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 63808668 is about 7988.0327991315. The cubic root of 63808668 is about 399.6009937841.

The spelling of 63808668 in words is "sixty-three million, eight hundred eight thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 126 132 154 189 198 231 252 297 308 378 396 462 594 693 756 924 1188 1386 2079 2772 4158 7673 8316 15346 23019 30692 46038 53711 69057 84403 92076 107422 138114 161133 168806 207171 214844 253209 276228 322266 337612 414342 483399 506418 590821 644532 759627 828684 966798 1012836 1181642 1450197 1519254 1772463 1933596 2278881 2363284 2900394 3038508 3544926 4557762 5317389 5800788 7089852 9115524 10634778 15952167 21269556 31904334 63808668