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63423328 = 25172337137
BaseRepresentation
bin1111000111110…
…0001101100000
311102100020110011
43301330031200
5112214021303
610143214304
71400042443
oct361741540
9142306404
1063423328
1132889981
12192a7394
13101a81c7
1485cd65a
15587c16d
hex3c7c360

63423328 has 96 divisors (see below), whose sum is σ = 142720704. Its totient is φ = 27574272.

The previous prime is 63423313. The next prime is 63423331. The reversal of 63423328 is 82332436.

63423328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (20736) is a multiple of the sum of its prime divisors (216).

It is a self number, because there is not a number n which added to its sum of digits gives 63423328.

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, 462876 + ... + 463012.

It is an arithmetic number, because the mean of its divisors is an integer number (1486674).

Almost surely, 263423328 is an apocalyptic number.

63423328 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63423328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71360352).

63423328 is an abundant number, since it is smaller than the sum of its proper divisors (79297376).

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

63423328 is a wasteful number, since it uses less digits than its factorization.

63423328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 216 counting only the distinct ones).

The product of its digits is 20736, while the sum is 31.

The square root of 63423328 is about 7963.8764430395. The cubic root of 63423328 is about 398.7949734228.

The spelling of 63423328 in words is "sixty-three million, four hundred twenty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 17 23 32 34 37 46 68 74 92 136 137 148 184 272 274 296 368 391 544 548 592 629 736 782 851 1096 1184 1258 1564 1702 2192 2329 2516 3128 3151 3404 4384 4658 5032 5069 6256 6302 6808 9316 10064 10138 12512 12604 13616 14467 18632 20128 20276 25208 27232 28934 37264 40552 50416 53567 57868 74528 81104 86173 100832 107134 115736 116587 162208 172346 214268 231472 233174 344692 428536 462944 466348 689384 857072 932696 1378768 1714144 1865392 1981979 2757536 3730784 3963958 7927916 15855832 31711664 63423328