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63083064 = 23311435557
BaseRepresentation
bin1111000010100…
…1001000111000
311101200221200210
43300221020320
5112122124224
610132031120
71364124432
oct360511070
9141627623
1063083064
1132677270
12191624a0
13100b9375
148541652
155811429
hex3c29238

63083064 has 64 divisors (see below), whose sum is σ = 176077440. Its totient is φ = 18668160.

The previous prime is 63083057. The next prime is 63083087. The reversal of 63083064 is 46038036.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8574 + ... + 14130.

It is an arithmetic number, because the mean of its divisors is an integer number (2751210).

Almost surely, 263083064 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 63083064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88038720).

63083064 is an abundant number, since it is smaller than the sum of its proper divisors (112994376).

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

63083064 is a wasteful number, since it uses less digits than its factorization.

63083064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5620 (or 5616 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 63083064 is about 7942.4847497493. The cubic root of 63083064 is about 398.0805203954.

The spelling of 63083064 in words is "sixty-three million, eighty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 43 44 66 86 88 129 132 172 258 264 344 473 516 946 1032 1419 1892 2838 3784 5557 5676 11114 11352 16671 22228 33342 44456 61127 66684 122254 133368 183381 238951 244508 366762 477902 489016 716853 733524 955804 1433706 1467048 1911608 2628461 2867412 5256922 5734824 7885383 10513844 15770766 21027688 31541532 63083064