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63685368 = 23321934583
BaseRepresentation
bin1111001011110…
…0001011111000
311102211112220100
43302330023320
5112300412433
610152555400
71402213425
oct362741370
9142745810
1063685368
1132a4883a
12193b2b60
131026a566
14865ad4c
1558ceb13
hex3cbc2f8

63685368 has 48 divisors (see below), whose sum is σ = 173412720. Its totient is φ = 21113856.

The previous prime is 63685361. The next prime is 63685381. The reversal of 63685368 is 86358636.

63685368 is a `hidden beast` number, since 636 + 8 + 5 + 3 + 6 + 8 = 666.

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 (63685361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11605 + ... + 16187.

It is an arithmetic number, because the mean of its divisors is an integer number (3612765).

Almost surely, 263685368 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 63685368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86706360).

63685368 is an abundant number, since it is smaller than the sum of its proper divisors (109727352).

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

63685368 is a wasteful number, since it uses less digits than its factorization.

63685368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4788 (or 4781 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 63685368 is about 7980.3112721247. The cubic root of 63685368 is about 399.3434395773.

The spelling of 63685368 in words is "sixty-three million, six hundred eighty-five thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 193 386 579 772 1158 1544 1737 2316 3474 4583 4632 6948 9166 13749 13896 18332 27498 36664 41247 54996 82494 109992 164988 329976 884519 1769038 2653557 3538076 5307114 7076152 7960671 10614228 15921342 21228456 31842684 63685368