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63888416 = 2547107397
BaseRepresentation
bin1111001110110…
…1110000100000
311110012212102122
43303231300200
5112323412131
610201203412
71404020414
oct363556040
9143185378
1063888416
1133077349
1219490568
131030bac7
1486b0d44
15591ed7b
hex3cedc20

63888416 has 48 divisors (see below), whose sum is σ = 129983616. Its totient is φ = 30894336.

The previous prime is 63888413. The next prime is 63888449. The reversal of 63888416 is 61488836.

63888416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (63888413) 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, 160730 + ... + 161126.

It is an arithmetic number, because the mean of its divisors is an integer number (2707992).

Almost surely, 263888416 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 63888416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64991808).

63888416 is an abundant number, since it is smaller than the sum of its proper divisors (66095200).

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

63888416 is a wasteful number, since it uses less digits than its factorization.

63888416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 553 counting only the distinct ones).

The product of its digits is 221184, while the sum is 44.

The square root of 63888416 is about 7993.0229575549. The cubic root of 63888416 is about 399.7673981004.

The spelling of 63888416 in words is "sixty-three million, eight hundred eighty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 47 94 107 188 214 376 397 428 752 794 856 1504 1588 1712 3176 3424 5029 6352 10058 12704 18659 20116 37318 40232 42479 74636 80464 84958 149272 160928 169916 298544 339832 597088 679664 1359328 1996513 3993026 7986052 15972104 31944208 63888416