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63790368 = 2533717959
BaseRepresentation
bin1111001101010…
…1110100100000
311110000212221020
43303111310200
5112312242433
610155125440
71403131515
oct363256440
9143025836
1063790368
113300a714
1219443880
13102a62a5
14868730c
155900cb3
hex3cd5d20

63790368 has 48 divisors (see below), whose sum is σ = 171984960. Its totient is φ = 20687616.

The previous prime is 63790361. The next prime is 63790369. The reversal of 63790368 is 86309736.

63790368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×637903682 = 8138422099150848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63790361) by changing a digit.

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, 5428 + ... + 12531.

It is an arithmetic number, because the mean of its divisors is an integer number (3583020).

Almost surely, 263790368 is an apocalyptic number.

It is an amenable number.

63790368 is an abundant number, since it is smaller than the sum of its proper divisors (108194592).

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

63790368 is a wasteful number, since it uses less digits than its factorization.

63790368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18009 (or 18001 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 63790368 is about 7986.8872534924. The cubic root of 63790368 is about 399.5627889570.

The spelling of 63790368 in words is "sixty-three million, seven hundred ninety thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 17959 35918 53877 71836 107754 143672 215508 287344 431016 574688 664483 862032 1328966 1724064 1993449 2657932 3986898 5315864 7973796 10631728 15947592 21263456 31895184 63790368