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63041104 = 2473167271
BaseRepresentation
bin1111000001111…
…0111001010000
311101121211010201
43300132321100
5112114303404
610131104544
71363561210
oct360367120
9141554121
1063041104
1132648795
1219142154
13100a3239
148530240
155803ca4
hex3c1ee50

63041104 has 80 divisors (see below), whose sum is σ = 146784256. Its totient is φ = 25660800.

The previous prime is 63041101. The next prime is 63041119. The reversal of 63041104 is 40114036.

It is a happy number.

63041104 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 not an unprimeable number, because it can be changed into a prime (63041101) 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 15 ways as a sum of consecutive naturals, for example, 232489 + ... + 232759.

Almost surely, 263041104 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 63041104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73392128).

63041104 is an abundant number, since it is smaller than the sum of its proper divisors (83743152).

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

63041104 is a wasteful number, since it uses less digits than its factorization.

63041104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 63041104 is about 7939.8428196029. The cubic root of 63041104 is about 397.9922391019.

The spelling of 63041104 in words is "sixty-three million, forty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 67 112 124 134 217 248 268 271 434 469 496 536 542 868 938 1072 1084 1736 1876 1897 2077 2168 3472 3752 3794 4154 4336 7504 7588 8308 8401 14539 15176 16616 16802 18157 29078 30352 33232 33604 36314 58156 58807 67208 72628 116312 117614 127099 134416 145256 232624 235228 254198 290512 470456 508396 562867 940912 1016792 1125734 2033584 2251468 3940069 4502936 7880138 9005872 15760276 31520552 63041104