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63089616 = 2432961743
BaseRepresentation
bin1111000010101…
…0101111010000
311101201021200110
43300222233100
5112122331431
610132121320
71364152512
oct360525720
9141637613
1063089616
1132681187
1219166240
13100bc345
148543bb2
155813346
hex3c2abd0

63089616 has 80 divisors (see below), whose sum is σ = 171596160. Its totient is φ = 19944960.

The previous prime is 63089591. The next prime is 63089623. The reversal of 63089616 is 61698036.

It is a happy number.

63089616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 84541 + ... + 85283.

It is an arithmetic number, because the mean of its divisors is an integer number (2144952).

Almost surely, 263089616 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 63089616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85798080).

63089616 is an abundant number, since it is smaller than the sum of its proper divisors (108506544).

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

63089616 is a wasteful number, since it uses less digits than its factorization.

63089616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 63089616 is about 7942.8972044211. The cubic root of 63089616 is about 398.0943018718.

The spelling of 63089616 in words is "sixty-three million, eighty-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 61 87 116 122 174 183 232 244 348 366 464 488 696 732 743 976 1392 1464 1486 1769 2229 2928 2972 3538 4458 5307 5944 7076 8916 10614 11888 14152 17832 21228 21547 28304 35664 42456 43094 45323 64641 84912 86188 90646 129282 135969 172376 181292 258564 271938 344752 362584 517128 543876 725168 1034256 1087752 1314367 2175504 2628734 3943101 5257468 7886202 10514936 15772404 21029872 31544808 63089616